477977536 has 56 divisors (see below), whose sum is σ = 1023945120. Its totient is φ = 220695552.

The previous prime is 477977527. The next prime is 477977537. The reversal of 477977536 is 635779774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477977537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37090 + ... + 48286.

Almost surely, 2^477977536 is an apocalyptic number.

477977536 is a gapful number since it is divisible by the number (46) 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 477977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511972560).

477977536 is an abundant number, since it is smaller than the sum of its proper divisors (545967584).

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

477977536 is a wasteful number, since it uses less digits than its factorization.

477977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11251 counting only the distinct ones).

The product of its digits is 7779240, while the sum is 55.

The square root of 477977536 is about 21862.6973633173. The cubic root of 477977536 is about 781.8723025025.

The spelling of 477977536 in words is "four hundred seventy-seven million, nine hundred seventy-seven thousand, five hundred thirty-six".