477506736 has 120 divisors (see below), whose sum is σ = 1531773984. Its totient is φ = 136028160.

The previous prime is 477506723. The next prime is 477506747. The reversal of 477506736 is 637605774.

477506736 is a `hidden beast` number, since 4 + 77 + 506 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 477506691 and 477506700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581206 + ... + 582026.

Almost surely, 2^477506736 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 477506736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765886992).

477506736 is an abundant number, since it is smaller than the sum of its proper divisors (1054267248).

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

477506736 is a wasteful number, since it uses less digits than its factorization.

477506736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 477506736 is about 21851.9275122356. The cubic root of 477506736 is about 781.6155077247.

The spelling of 477506736 in words is "four hundred seventy-seven million, five hundred six thousand, seven hundred thirty-six".