5929242400 has 36 divisors (see below), whose sum is σ = 14474764962. Its totient is φ = 2371696640.

The previous prime is 5929242329. The next prime is 5929242409. The reversal of 5929242400 is 42429295.

It can be written as a sum of positive squares in 3 ways, for example, as 5034753936 + 894488464 = 70956^2 + 29908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5929242400.

It is not an unprimeable number, because it can be changed into a prime (5929242409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3704977 + ... + 3706576.

Almost surely, 2^5929242400 is an apocalyptic number.

5929242400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5929242400 is an abundant number, since it is smaller than the sum of its proper divisors (8545522562).

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

5929242400 is a wasteful number, since it uses less digits than its factorization.

5929242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411573 (or 7411560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5929242400 is about 77001.5740098863. The cubic root of 5929242400 is about 1809.9492675259.

The spelling of 5929242400 in words is "five billion, nine hundred twenty-nine million, two hundred forty-two thousand, four hundred".