477606960 has 240 divisors, whose sum is σ = 1693605888. Its totient is φ = 120384000.

The previous prime is 477606923. The next prime is 477606979. The reversal of 477606960 is 69606774.

477606960 is a `hidden beast` number, since 477 + 60 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2500465 + ... + 2500655.

Almost surely, 2^477606960 is an apocalyptic number.

477606960 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 477606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846802944).

477606960 is an abundant number, since it is smaller than the sum of its proper divisors (1215998928).

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

477606960 is a wasteful number, since it uses less digits than its factorization.

477606960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 477606960 is about 21854.2206449921. The cubic root of 477606960 is about 781.6701883862.

The spelling of 477606960 in words is "four hundred seventy-seven million, six hundred six thousand, nine hundred sixty".