477987552 has 108 divisors (see below), whose sum is σ = 1581246576. Its totient is φ = 136563840.

The previous prime is 477987539. The next prime is 477987637. The reversal of 477987552 is 255789774.

It is a happy number.

477987552 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 87 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2824 + ... + 31047.

It is an arithmetic number, because the mean of its divisors is an integer number (14641172).

Almost surely, 2^477987552 is an apocalyptic number.

477987552 is a gapful number since it is divisible by the number (42) 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 477987552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790623288).

477987552 is an abundant number, since it is smaller than the sum of its proper divisors (1103259024).

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

477987552 is a wasteful number, since it uses less digits than its factorization.

477987552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33901 (or 33883 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 477987552 is about 21862.9264280883. The cubic root of 477987552 is about 781.8777638319.

The spelling of 477987552 in words is "four hundred seventy-seven million, nine hundred eighty-seven thousand, five hundred fifty-two".