1052000400 has 120 divisors (see below), whose sum is σ = 3676309344. Its totient is φ = 255027200.

The previous prime is 1052000399. The next prime is 1052000413. The reversal of 1052000400 is 40002501.

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

It is a super-2 number, since 2×1052000400² = 2213409683200320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 26649 + ... + 53048.

Almost surely, 2^1052000400 is an apocalyptic number.

1052000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052000400 is an abundant number, since it is smaller than the sum of its proper divisors (2624308944).

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

1052000400 is a wasteful number, since it uses less digits than its factorization.

1052000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79729 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1052000400 is about 32434.5556467173. Note that the first 3 decimals coincide. The cubic root of 1052000400 is about 1017.0414074367.

Adding to 1052000400 its reverse (40002501), we get a palindrome (1092002901).

The spelling of 1052000400 in words is "one billion, fifty-two million, four hundred", and thus it is an aban number.