1052732400 has 120 divisors (see below), whose sum is σ = 3454664304. Its totient is φ = 273868800.

The previous prime is 1052732389. The next prime is 1052732413. The reversal of 1052732400 is 42372501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1052732400² = 2216491012019520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38502 + ... + 59898.

Almost surely, 2^1052732400 is an apocalyptic number.

1052732400 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 1052732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727332152).

1052732400 is an abundant number, since it is smaller than the sum of its proper divisors (2401931904).

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

1052732400 is a wasteful number, since it uses less digits than its factorization.

1052732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21459 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1052732400 is about 32445.8379457212. The cubic root of 1052732400 is about 1017.2772443889.

The spelling of 1052732400 in words is "one billion, fifty-two million, seven hundred thirty-two thousand, four hundred".