5303390400 has 504 divisors, whose sum is σ = 23505590784. Its totient is φ = 1101772800.

The previous prime is 5303390377. The next prime is 5303390413. The reversal of 5303390400 is 40933035.

5303390400 is a `hidden beast` number, since 530 + 3 + 3 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1106409 + ... + 1111191.

Almost surely, 2^5303390400 is an apocalyptic number.

5303390400 is a gapful number since it is divisible by the number (50) 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 5303390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11752795392).

5303390400 is an abundant number, since it is smaller than the sum of its proper divisors (18202200384).

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

5303390400 is a wasteful number, since it uses less digits than its factorization.

5303390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 5303390400 is about 72824.3805328957. The cubic root of 5303390400 is about 1743.8850960966.

The spelling of 5303390400 in words is "five billion, three hundred three million, three hundred ninety thousand, four hundred".