506180400 has 240 divisors, whose sum is σ = 1827406848. Its totient is φ = 118656000.

The previous prime is 506180333. The next prime is 506180407. The reversal of 506180400 is 4081605.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (506180407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408582 + ... + 409818.

Almost surely, 2^506180400 is an apocalyptic number.

506180400 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 506180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913703424).

506180400 is an abundant number, since it is smaller than the sum of its proper divisors (1321226448).

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

506180400 is a wasteful number, since it uses less digits than its factorization.

506180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 506180400 is about 22498.4532801702. The cubic root of 506180400 is about 796.9574012444.

The spelling of 506180400 in words is "five hundred six million, one hundred eighty thousand, four hundred".