476956720 has 40 divisors (see below), whose sum is σ = 1115084880. Its totient is φ = 189722880.

The previous prime is 476956717. The next prime is 476956729. The reversal of 476956720 is 27659674.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (476956729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1990 + ... + 30949.

It is an arithmetic number, because the mean of its divisors is an integer number (27877122).

Almost surely, 2^476956720 is an apocalyptic number.

476956720 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 476956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557542440).

476956720 is an abundant number, since it is smaller than the sum of its proper divisors (638128160).

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

476956720 is a wasteful number, since it uses less digits than its factorization.

476956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33133 (or 33127 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 476956720 is about 21839.3388178305. The cubic root of 476956720 is about 781.3152912259.

The spelling of 476956720 in words is "four hundred seventy-six million, nine hundred fifty-six thousand, seven hundred twenty".