504735840 has 192 divisors, whose sum is σ = 2019064320. Its totient is φ = 115361280.

The previous prime is 504735793. The next prime is 504735859. The reversal of 504735840 is 48537405.

504735840 is a `hidden beast` number, since 5 + 0 + 4 + 73 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 504735795 and 504735804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21895 + ... + 38585.

It is an arithmetic number, because the mean of its divisors is an integer number (10515960).

Almost surely, 2^504735840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009532160).

504735840 is an abundant number, since it is smaller than the sum of its proper divisors (1514328480).

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

504735840 is a wasteful number, since it uses less digits than its factorization.

504735840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 504735840 is about 22466.3268025728. The cubic root of 504735840 is about 796.1985481501.

The spelling of 504735840 in words is "five hundred four million, seven hundred thirty-five thousand, eight hundred forty".