476643920 has 80 divisors (see below), whose sum is σ = 1143141120. Its totient is φ = 184730112.

The previous prime is 476643911. The next prime is 476643989. The reversal of 476643920 is 29346674.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409259 + ... + 410421.

It is an arithmetic number, because the mean of its divisors is an integer number (14289264).

Almost surely, 2^476643920 is an apocalyptic number.

476643920 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 476643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571570560).

476643920 is an abundant number, since it is smaller than the sum of its proper divisors (666497200).

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

476643920 is a wasteful number, since it uses less digits than its factorization.

476643920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 476643920 is about 21832.1762543270. The cubic root of 476643920 is about 781.1444519169.

The spelling of 476643920 in words is "four hundred seventy-six million, six hundred forty-three thousand, nine hundred twenty".