477969984 has 140 divisors (see below), whose sum is σ = 1429315404. Its totient is φ = 157925376.

The previous prime is 477969979. The next prime is 477970001. The reversal of 477969984 is 489969774.

It can be written as a sum of positive squares in 2 ways, for example, as 217857600 + 260112384 = 14760^2 + 16128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 709872 + ... + 710544.

Almost surely, 2^477969984 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 477969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714657702).

477969984 is an abundant number, since it is smaller than the sum of its proper divisors (951345420).

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

477969984 is a wasteful number, since it uses less digits than its factorization.

477969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 815 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 477969984 is about 21862.5246483566. The cubic root of 477969984 is about 781.8681846446.

The spelling of 477969984 in words is "four hundred seventy-seven million, nine hundred sixty-nine thousand, nine hundred eighty-four".