476135820 has 240 divisors, whose sum is σ = 1626240000. Its totient is φ = 116173440.

The previous prime is 476135809. The next prime is 476135831. The reversal of 476135820 is 28531674.

476135820 is a `hidden beast` number, since 4 + 76 + 1 + 3 + 582 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (476135809) and next prime (476135831).

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 79 ways as a sum of consecutive naturals, for example, 953931 + ... + 954429.

It is an arithmetic number, because the mean of its divisors is an integer number (6776000).

Almost surely, 2^476135820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476135820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813120000).

476135820 is an abundant number, since it is smaller than the sum of its proper divisors (1150104180).

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

476135820 is a wasteful number, since it uses less digits than its factorization.

476135820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 476135820 is about 21820.5366570119. The cubic root of 476135820 is about 780.8667878901.

The spelling of 476135820 in words is "four hundred seventy-six million, one hundred thirty-five thousand, eight hundred twenty".