5060000400 has 240 divisors, whose sum is σ = 19949806464. Its totient is φ = 1067581440.

The previous prime is 5060000399. The next prime is 5060000431. The reversal of 5060000400 is 40000605.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5060000400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86032 + ... + 132368.

Almost surely, 2^5060000400 is an apocalyptic number.

5060000400 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 5060000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974903232).

5060000400 is an abundant number, since it is smaller than the sum of its proper divisors (14889806064).

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

5060000400 is a wasteful number, since it uses less digits than its factorization.

5060000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46378 (or 46367 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5060000400 is about 71133.6797867227. The cubic root of 5060000400 is about 1716.7887170374.

The spelling of 5060000400 in words is "five billion, sixty million, four hundred", and thus it is an aban number.