477965952 has 96 divisors (see below), whose sum is σ = 1381373760. Its totient is φ = 158630400.

The previous prime is 477965951. The next prime is 477965959. The reversal of 477965952 is 259569774.

477965952 is a `hidden beast` number, since 47 + 7 + 9 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (477965951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311427 + ... + 312957.

It is an arithmetic number, because the mean of its divisors is an integer number (14389310).

Almost surely, 2^477965952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690686880).

477965952 is an abundant number, since it is smaller than the sum of its proper divisors (903407808).

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

477965952 is a wasteful number, since it uses less digits than its factorization.

477965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1807 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 477965952 is about 21862.4324355731. The cubic root of 477965952 is about 781.8659861095.

The spelling of 477965952 in words is "four hundred seventy-seven million, nine hundred sixty-five thousand, nine hundred fifty-two".