477537984 has 448 divisors, whose sum is σ = 1816120320. Its totient is φ = 119439360.

The previous prime is 477537979. The next prime is 477538031. The reversal of 477537984 is 489735774.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 477537984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4923024 + ... + 4923120.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2^477537984 is an apocalyptic number.

477537984 is a gapful number since it is divisible by the number (44) 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 477537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908060160).

477537984 is an abundant number, since it is smaller than the sum of its proper divisors (1338582336).

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

477537984 is a wasteful number, since it uses less digits than its factorization.

477537984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 477537984 is about 21852.6424946733. The cubic root of 477537984 is about 781.6325569702.

The spelling of 477537984 in words is "four hundred seventy-seven million, five hundred thirty-seven thousand, nine hundred eighty-four".