475677720 has 384 divisors, whose sum is σ = 1913932800. Its totient is φ = 100058112.

The previous prime is 475677701. The next prime is 475677757. The reversal of 475677720 is 27776574.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680699 + ... + 1680981.

It is an arithmetic number, because the mean of its divisors is an integer number (4984200).

Almost surely, 2^475677720 is an apocalyptic number.

475677720 is a gapful number since it is divisible by the number (40) 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 475677720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956966400).

475677720 is an abundant number, since it is smaller than the sum of its proper divisors (1438255080).

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

475677720 is a wasteful number, since it uses less digits than its factorization.

475677720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 475677720 is about 21810.0371388955. The cubic root of 475677720 is about 780.6162782361.

The spelling of 475677720 in words is "four hundred seventy-five million, six hundred seventy-seven thousand, seven hundred twenty".