1453252080 has 160 divisors (see below), whose sum is σ = 5268662784. Its totient is φ = 324430848.

The previous prime is 1453252067. The next prime is 1453252109. The reversal of 1453252080 is 802523541.

It is a super-2 number, since 2×1453252080² = 4223883216048652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62182 + ... + 82298.

Almost surely, 2^1453252080 is an apocalyptic number.

1453252080 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 1453252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634331392).

1453252080 is an abundant number, since it is smaller than the sum of its proper divisors (3815410704).

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

1453252080 is a wasteful number, since it uses less digits than its factorization.

1453252080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20183 (or 20177 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1453252080 is about 38121.5435154454. The cubic root of 1453252080 is about 1132.6967413021.

The spelling of 1453252080 in words is "one billion, four hundred fifty-three million, two hundred fifty-two thousand, eighty".