1055872400 has 120 divisors (see below), whose sum is σ = 2856983808. Its totient is φ = 371520000.

The previous prime is 1055872399. The next prime is 1055872403. The reversal of 1055872400 is 42785501.

It is a super-2 number, since 2×1055872400² = 2229733050163520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1055872403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132530 + ... + 140270.

Almost surely, 2^1055872400 is an apocalyptic number.

1055872400 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 1055872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428491904).

1055872400 is an abundant number, since it is smaller than the sum of its proper divisors (1801111408).

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

1055872400 is a wasteful number, since it uses less digits than its factorization.

1055872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 1055872400 is about 32494.1902499508. The cubic root of 1055872400 is about 1018.2876562637.

The spelling of 1055872400 in words is "one billion, fifty-five million, eight hundred seventy-two thousand, four hundred".