1052310400 has 48 divisors (see below), whose sum is σ = 2599543440. Its totient is φ = 420922880.

The previous prime is 1052310397. The next prime is 1052310431. The reversal of 1052310400 is 40132501.

It is a super-2 number, since 2×1052310400² = 2214714355896320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161224 + ... + 167623.

It is an arithmetic number, because the mean of its divisors is an integer number (54157155).

Almost surely, 2^1052310400 is an apocalyptic number.

1052310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052310400 is an abundant number, since it is smaller than the sum of its proper divisors (1547233040).

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

1052310400 is an equidigital number, since it uses as much as digits as its factorization.

1052310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328871 (or 328854 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1052310400 is about 32439.3341485302. The cubic root of 1052310400 is about 1017.1412970921.

Adding to 1052310400 its reverse (40132501), we get a palindrome (1092442901).

The spelling of 1052310400 in words is "one billion, fifty-two million, three hundred ten thousand, four hundred".