476159040 has 224 divisors, whose sum is σ = 1919996160. Its totient is φ = 108822528.

The previous prime is 476159011. The next prime is 476159141. The reversal of 476159040 is 40951674.

476159040 is a `hidden beast` number, since 4 + 7 + 61 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 476158986 and 476159004.

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 31 ways as a sum of consecutive naturals, for example, 56544 + ... + 64416.

Almost surely, 2^476159040 is an apocalyptic number.

476159040 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 476159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959998080).

476159040 is an abundant number, since it is smaller than the sum of its proper divisors (1443837120).

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

476159040 is a wasteful number, since it uses less digits than its factorization.

476159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 476159040 is about 21821.0687180990. The cubic root of 476159040 is about 780.8794813495.

The spelling of 476159040 in words is "four hundred seventy-six million, one hundred fifty-nine thousand, forty".