1453082976 has 120 divisors (see below), whose sum is σ = 4286565360. Its totient is φ = 482879232.

The previous prime is 1453082963. The next prime is 1453082977. The reversal of 1453082976 is 6792803541.

1453082976 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453082976² = 4222900270282033152, which contains 22 as substring.

1453082976 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453082977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1137250 + ... + 1138526.

It is an arithmetic number, because the mean of its divisors is an integer number (35721378).

It is a 1-persistent number, because it is pandigital, but 2⋅1453082976 = 2906165952 is not.

It is a vampire number, since it can be written as 31608 ⋅ 45972 (with its own digits).

Almost surely, 2^1453082976 is an apocalyptic number.

1453082976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453082976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143282680).

1453082976 is an abundant number, since it is smaller than the sum of its proper divisors (2833482384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1453082976 is a wasteful number, since it uses less digits than its factorization.

1453082976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1453082976 is about 38119.3254924585. The cubic root of 1453082976 is about 1132.6528051347.

The spelling of 1453082976 in words is "one billion, four hundred fifty-three million, eighty-two thousand, nine hundred seventy-six".