477292960 has 24 divisors (see below), whose sum is σ = 1127604996. Its totient is φ = 190917120.

The previous prime is 477292919. The next prime is 477292993. The reversal of 477292960 is 69292774.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 467078544 + 10214416 = 21612^2 + 3196^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 477292960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1491381 + ... + 1491700.

Almost surely, 2^477292960 is an apocalyptic number.

477292960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477292960 is an abundant number, since it is smaller than the sum of its proper divisors (650312036).

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

477292960 is a wasteful number, since it uses less digits than its factorization.

477292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983096 (or 2983088 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 477292960 is about 21847.0354968357. The cubic root of 477292960 is about 781.4988492810.

The spelling of 477292960 in words is "four hundred seventy-seven million, two hundred ninety-two thousand, nine hundred sixty".