1052534400 has 96 divisors (see below), whose sum is σ = 3466816800. Its totient is φ = 280673280.

The previous prime is 1052534383. The next prime is 1052534419. The reversal of 1052534400 is 44352501.

1052534400 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 (96).

It is a super-3 number, since 3×1052534400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 45220 + ... + 64419.

It is an arithmetic number, because the mean of its divisors is an integer number (36112675).

Almost surely, 2^1052534400 is an apocalyptic number.

1052534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052534400 is an abundant number, since it is smaller than the sum of its proper divisors (2414282400).

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

1052534400 is a wasteful number, since it uses less digits than its factorization.

1052534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109666 (or 109649 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1052534400 is about 32442.7865634258. The cubic root of 1052534400 is about 1017.2134632154.

Adding to 1052534400 its reverse (44352501), we get a palindrome (1096886901).

The spelling of 1052534400 in words is "one billion, fifty-two million, five hundred thirty-four thousand, four hundred".