475756320 has 96 divisors (see below), whose sum is σ = 1613932992. Its totient is φ = 117107712.

The previous prime is 475756297. The next prime is 475756321. The reversal of 475756320 is 23657574.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (475756321) 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, 31882 + ... + 44361.

It is an arithmetic number, because the mean of its divisors is an integer number (16811802).

Almost surely, 2^475756320 is an apocalyptic number.

475756320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475756320 is an abundant number, since it is smaller than the sum of its proper divisors (1138176672).

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

475756320 is a wasteful number, since it uses less digits than its factorization.

475756320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76274 (or 76266 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 475756320 is about 21811.8389871189. The cubic root of 475756320 is about 780.6592716732.

The spelling of 475756320 in words is "four hundred seventy-five million, seven hundred fifty-six thousand, three hundred twenty".