475395480 has 448 divisors, whose sum is σ = 1954808640. Its totient is φ = 101523456.

The previous prime is 475395469. The next prime is 475395541. The reversal of 475395480 is 84593574.

475395480 is a `hidden beast` number, since 4 + 75 + 39 + 548 + 0 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3469972 + ... + 3470108.

Almost surely, 2^475395480 is an apocalyptic number.

475395480 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 475395480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977404320).

475395480 is an abundant number, since it is smaller than the sum of its proper divisors (1479413160).

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

475395480 is a wasteful number, since it uses less digits than its factorization.

475395480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 475395480 is about 21803.5657634250. The cubic root of 475395480 is about 780.4618566472.

The spelling of 475395480 in words is "four hundred seventy-five million, three hundred ninety-five thousand, four hundred eighty".