1453954320 has 480 divisors, whose sum is σ = 6208531200. Its totient is φ = 306229248.

The previous prime is 1453954303. The next prime is 1453954321. The reversal of 1453954320 is 234593541.

It is a super-2 number, since 2×1453954320² = 4227966329293324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1453954321) 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 95 ways as a sum of consecutive naturals, for example, 2554996 + ... + 2555564.

It is an arithmetic number, because the mean of its divisors is an integer number (12934440).

Almost surely, 2^1453954320 is an apocalyptic number.

1453954320 is a gapful number since it is divisible by the number (10) 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 1453954320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104265600).

1453954320 is an abundant number, since it is smaller than the sum of its proper divisors (4754576880).

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

1453954320 is a wasteful number, since it uses less digits than its factorization.

1453954320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1453954320 is about 38130.7529429986. The cubic root of 1453954320 is about 1132.8791590403.

The spelling of 1453954320 in words is "one billion, four hundred fifty-three million, nine hundred fifty-four thousand, three hundred twenty".