477250560 has 132 divisors (see below), whose sum is σ = 1653820428. Its totient is φ = 127254528.

The previous prime is 477250517. The next prime is 477250577. The reversal of 477250560 is 65052774.

477250560 is a `hidden beast` number, since 4 + 77 + 25 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204604416 + 272646144 = 14304^2 + 16512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40902 + ... + 51258.

Almost surely, 2^477250560 is an apocalyptic number.

477250560 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 477250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826910214).

477250560 is an abundant number, since it is smaller than the sum of its proper divisors (1176569868).

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

477250560 is a wasteful number, since it uses less digits than its factorization.

477250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 477250560 is about 21846.0650919107. The cubic root of 477250560 is about 781.4757072870.

The spelling of 477250560 in words is "four hundred seventy-seven million, two hundred fifty thousand, five hundred sixty".