477912960 has 384 divisors, whose sum is σ = 1960358400. Its totient is φ = 108988416.

The previous prime is 477912937. The next prime is 477912961. The reversal of 477912960 is 69219774.

477912960 is a `hidden beast` number, since 477 + 91 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477912961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088421 + ... + 1088859.

It is an arithmetic number, because the mean of its divisors is an integer number (5105100).

Almost surely, 2^477912960 is an apocalyptic number.

477912960 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 477912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980179200).

477912960 is an abundant number, since it is smaller than the sum of its proper divisors (1482445440).

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

477912960 is an equidigital number, since it uses as much as digits as its factorization.

477912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 477912960 is about 21861.2204599835. The cubic root of 477912960 is about 781.8370899274.

The spelling of 477912960 in words is "four hundred seventy-seven million, nine hundred twelve thousand, nine hundred sixty".