1053735400 has 48 divisors (see below), whose sum is σ = 2496185100. Its totient is φ = 413537280.

The previous prime is 1053735379. The next prime is 1053735401. The reversal of 1053735400 is 45373501.

It can be written as a sum of positive squares in 6 ways, for example, as 582063876 + 471671524 = 24126^2 + 21718^2 .

It is a super-2 number, since 2×1053735400² = 2220716586426320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053735401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39105 + ... + 60304.

Almost surely, 2^1053735400 is an apocalyptic number.

1053735400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053735400 is an abundant number, since it is smaller than the sum of its proper divisors (1442449700).

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

1053735400 is a wasteful number, since it uses less digits than its factorization.

1053735400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99478 (or 99469 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 1053735400 is about 32461.2907938055. The cubic root of 1053735400 is about 1017.6002151030.

The spelling of 1053735400 in words is "one billion, fifty-three million, seven hundred thirty-five thousand, four hundred".