5314982400 has 960 divisors, whose sum is σ = 24152620800. Its totient is φ = 1121402880.

The previous prime is 5314982371. The next prime is 5314982473. The reversal of 5314982400 is 42894135.

5314982400 is a `hidden beast` number, since 531 + 4 + 9 + 82 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408844794 + ... + 408844806.

It is an arithmetic number, because the mean of its divisors is an integer number (25158980).

Almost surely, 2^5314982400 is an apocalyptic number.

5314982400 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 5314982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12076310400).

5314982400 is an abundant number, since it is smaller than the sum of its proper divisors (18837638400).

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

5314982400 is an equidigital number, since it uses as much as digits as its factorization.

5314982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5314982400 is about 72903.9258202190. The cubic root of 5314982400 is about 1745.1547496470.

The spelling of 5314982400 in words is "five billion, three hundred fourteen million, nine hundred eighty-two thousand, four hundred".