5046560400 has 240 divisors, whose sum is σ = 18574208000. Its totient is φ = 1147322880.

The previous prime is 5046560377. The next prime is 5046560437. The reversal of 5046560400 is 40656405.

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 (30).

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, 1670091 + ... + 1673109.

Almost surely, 2^5046560400 is an apocalyptic number.

5046560400 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 5046560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287104000).

5046560400 is an abundant number, since it is smaller than the sum of its proper divisors (13527647600).

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

5046560400 is a wasteful number, since it uses less digits than its factorization.

5046560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5046560400 is about 71039.1469543378. The cubic root of 5046560400 is about 1715.2673667367.

The spelling of 5046560400 in words is "five billion, forty-six million, five hundred sixty thousand, four hundred".