5308934400 has 1620 divisors, whose sum is σ = 26221290480. Its totient is φ = 1045094400.

The previous prime is 5308934399. The next prime is 5308934431. The reversal of 5308934400 is 44398035.

5308934400 is a `hidden beast` number, since 5 + 308 + 9 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 279417591 + ... + 279417609.

Almost surely, 2^5308934400 is an apocalyptic number.

5308934400 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 5308934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110645240).

5308934400 is an abundant number, since it is smaller than the sum of its proper divisors (20912356080).

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

5308934400 is a wasteful number, since it uses less digits than its factorization.

5308934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5308934400 is about 72862.4347657968. The cubic root of 5308934400 is about 1744.4925522890.

The spelling of 5308934400 in words is "five billion, three hundred eight million, nine hundred thirty-four thousand, four hundred".