475987320 has 128 divisors (see below), whose sum is σ = 1598702400. Its totient is φ = 125964288.

The previous prime is 475987319. The next prime is 475987357. The reversal of 475987320 is 23789574.

475987320 is a `hidden beast` number, since 475 + 98 + 73 + 20 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146352 + ... + 149568.

Almost surely, 2^475987320 is an apocalyptic number.

475987320 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 475987320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799351200).

475987320 is an abundant number, since it is smaller than the sum of its proper divisors (1122715080).

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

475987320 is a wasteful number, since it uses less digits than its factorization.

475987320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 475987320 is about 21817.1336339126. The cubic root of 475987320 is about 780.7855990287.

The spelling of 475987320 in words is "four hundred seventy-five million, nine hundred eighty-seven thousand, three hundred twenty".