477072960 has 448 divisors, whose sum is σ = 1922629632. Its totient is φ = 97542144.

The previous prime is 477072907. The next prime is 477072977. The reversal of 477072960 is 69270774.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3756417 + ... + 3756543.

It is an arithmetic number, because the mean of its divisors is an integer number (4291584).

Almost surely, 2^477072960 is an apocalyptic number.

477072960 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 477072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961314816).

477072960 is an abundant number, since it is smaller than the sum of its proper divisors (1445556672).

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

477072960 is a wasteful number, since it uses less digits than its factorization.

477072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 477072960 is about 21841.9999084333. Note that the first 4 decimals coincide. The cubic root of 477072960 is about 781.3787579995.

The spelling of 477072960 in words is "four hundred seventy-seven million, seventy-two thousand, nine hundred sixty".