477322560 has 672 divisors, whose sum is σ = 2063617920. Its totient is φ = 99532800.

The previous prime is 477322537. The next prime is 477322591. The reversal of 477322560 is 65223774.

It is a happy number.

477322560 is a `hidden beast` number, since 4 + 7 + 73 + 22 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7824930 + ... + 7824990.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^477322560 is an apocalyptic number.

477322560 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 477322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031808960).

477322560 is an abundant number, since it is smaller than the sum of its proper divisors (1586295360).

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

477322560 is a wasteful number, since it uses less digits than its factorization.

477322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 477322560 is about 21847.7129237822. The cubic root of 477322560 is about 781.5150042003.

The spelling of 477322560 in words is "four hundred seventy-seven million, three hundred twenty-two thousand, five hundred sixty".