5629904400 has 240 divisors, whose sum is σ = 18556740864. Its totient is φ = 1458339840.

The previous prime is 5629904363. The next prime is 5629904443. The reversal of 5629904400 is 44099265.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×5629904400³ (a number of 30 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 9756912 + ... + 9757488.

Almost surely, 2^5629904400 is an apocalyptic number.

5629904400 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 5629904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278370432).

5629904400 is an abundant number, since it is smaller than the sum of its proper divisors (12926836464).

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

5629904400 is a wasteful number, since it uses less digits than its factorization.

5629904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 5629904400 is about 75032.6888762491. The cubic root of 5629904400 is about 1778.9633740253.

The spelling of 5629904400 in words is "five billion, six hundred twenty-nine million, nine hundred four thousand, four hundred".