477152 has 48 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 207360.

The previous prime is 477149. The next prime is 477163. The reversal of 477152 is 251774.

It is a super-2 number, since 2×477152² = 455348062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12878 + ... + 12914.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁴⁷⁷¹⁵² 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 477152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256).

477152 is an abundant number, since it is smaller than the sum of its proper divisors (595360).

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

477152 is a wasteful number, since it uses less digits than its factorization.

477152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 477152 is about 690.7618981965. The cubic root of 477152 is about 78.1421907770.

The spelling of 477152 in words is "four hundred seventy-seven thousand, one hundred fifty-two".