476244960 has 96 divisors (see below), whose sum is σ = 1551947040. Its totient is φ = 122615808.

The previous prime is 476244929. The next prime is 476244961. The reversal of 476244960 is 69442674.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476244961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3187 + ... + 31026.

It is an arithmetic number, because the mean of its divisors is an integer number (16166115).

Almost surely, 2^476244960 is an apocalyptic number.

476244960 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 476244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775973520).

476244960 is an abundant number, since it is smaller than the sum of its proper divisors (1075702080).

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

476244960 is a wasteful number, since it uses less digits than its factorization.

476244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34260 (or 34252 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 476244960 is about 21823.0373687991. The cubic root of 476244960 is about 780.9264468409.

The spelling of 476244960 in words is "four hundred seventy-six million, two hundred forty-four thousand, nine hundred sixty".