477937152 has 320 divisors, whose sum is σ = 1767744000. Its totient is φ = 123863040.

The previous prime is 477937091. The next prime is 477937211. The reversal of 477937152 is 251739774.

It is a super-2 number, since 2×477937152² = 456847842523742208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 477937098 and 477937107.

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, 1064224 + ... + 1064672.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2^477937152 is an apocalyptic number.

477937152 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 477937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872000).

477937152 is an abundant number, since it is smaller than the sum of its proper divisors (1289806848).

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

477937152 is a wasteful number, since it uses less digits than its factorization.

477937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 477937152 is about 21861.7737615226. The cubic root of 477937152 is about 781.8502819277.

It can be divided in two parts, 47793 and 7152, that added together give a palindrome (54945).

The spelling of 477937152 in words is "four hundred seventy-seven million, nine hundred thirty-seven thousand, one hundred fifty-two".