477492456 has 96 divisors (see below), whose sum is σ = 1397247840. Its totient is φ = 135580032.

The previous prime is 477492427. The next prime is 477492517. The reversal of 477492456 is 654294774.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202275 + ... + 204621.

It is an arithmetic number, because the mean of its divisors is an integer number (14554665).

Almost surely, 2^477492456 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 477492456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698623920).

477492456 is an abundant number, since it is smaller than the sum of its proper divisors (919755384).

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

477492456 is a wasteful number, since it uses less digits than its factorization.

477492456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2532 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 477492456 is about 21851.6007651613. The cubic root of 477492456 is about 781.6077161552.

It can be divided in two parts, 47749 and 2456, that added together give a palindrome (50205).

The spelling of 477492456 in words is "four hundred seventy-seven million, four hundred ninety-two thousand, four hundred fifty-six".