1052432400 has 60 divisors (see below), whose sum is σ = 3371295632. Its totient is φ = 280648320.

The previous prime is 1052432399. The next prime is 1052432429. The reversal of 1052432400 is 42342501.

1052432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1052432400² = 2215227913139520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437314 + ... + 439713.

Almost surely, 2^1052432400 is an apocalyptic number.

1052432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052432400 is an abundant number, since it is smaller than the sum of its proper divisors (2318863232).

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

1052432400 is a wasteful number, since it uses less digits than its factorization.

1052432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877048 (or 877037 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1052432400 is about 32441.2145272029. The cubic root of 1052432400 is about 1017.1806031255.

Adding to 1052432400 its reverse (42342501), we get a palindrome (1094774901).

It can be divided in two parts, 10524 and 32400, that added together give a palindrome (42924).

The spelling of 1052432400 in words is "one billion, fifty-two million, four hundred thirty-two thousand, four hundred".