477885504 has 112 divisors (see below), whose sum is σ = 1371819456. Its totient is φ = 146227200.

The previous prime is 477885503. The next prime is 477885509. The reversal of 477885504 is 405588774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (477885503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132039 + ... + 135609.

It is an arithmetic number, because the mean of its divisors is an integer number (12248388).

Almost surely, 2^477885504 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 477885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685909728).

477885504 is an abundant number, since it is smaller than the sum of its proper divisors (893933952).

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

477885504 is a wasteful number, since it uses less digits than its factorization.

477885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 477885504 is about 21860.5924896833. The cubic root of 477885504 is about 781.8221175146.

The spelling of 477885504 in words is "four hundred seventy-seven million, eight hundred eighty-five thousand, five hundred four".