476143920 has 240 divisors, whose sum is σ = 1895712000. Its totient is φ = 108801792.

The previous prime is 476143903. The next prime is 476143951. The reversal of 476143920 is 29341674.

476143920 is a `hidden beast` number, since 4 + 7 + 614 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134331 + ... + 137829.

It is an arithmetic number, because the mean of its divisors is an integer number (7898800).

Almost surely, 2^476143920 is an apocalyptic number.

476143920 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 476143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856000).

476143920 is an abundant number, since it is smaller than the sum of its proper divisors (1419568080).

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

476143920 is a wasteful number, since it uses less digits than its factorization.

476143920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 476143920 is about 21820.7222611902. The cubic root of 476143920 is about 780.8712158879.

The spelling of 476143920 in words is "four hundred seventy-six million, one hundred forty-three thousand, nine hundred twenty".