477787464 has 256 divisors, whose sum is σ = 1728000000. Its totient is φ = 118609920.

The previous prime is 477787451. The next prime is 477787489. The reversal of 477787464 is 464787774.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 477787464.

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, 381912 + ... + 383160.

It is an arithmetic number, because the mean of its divisors is an integer number (6750000).

Almost surely, 2^477787464 is an apocalyptic number.

477787464 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 477787464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000000).

477787464 is an abundant number, since it is smaller than the sum of its proper divisors (1250212536).

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

477787464 is a wasteful number, since it uses less digits than its factorization.

477787464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The square root of 477787464 is about 21858.3499834731. The cubic root of 477787464 is about 781.7686492801.

The spelling of 477787464 in words is "four hundred seventy-seven million, seven hundred eighty-seven thousand, four hundred sixty-four".