476361144 has 96 divisors (see below), whose sum is σ = 1504620000. Its totient is φ = 136096128.

The previous prime is 476361113. The next prime is 476361157. The reversal of 476361144 is 441163674.

476361144 is a `hidden beast` number, since 4 + 7 + 636 + 1 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 476361099 and 476361108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15052 + ... + 34340.

It is an arithmetic number, because the mean of its divisors is an integer number (15673125).

Almost surely, 2^476361144 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 476361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752310000).

476361144 is an abundant number, since it is smaller than the sum of its proper divisors (1028258856).

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

476361144 is a wasteful number, since it uses less digits than its factorization.

476361144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322 (or 19301 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 476361144 is about 21825.6991640589. The cubic root of 476361144 is about 780.9899462223.

The spelling of 476361144 in words is "four hundred seventy-six million, three hundred sixty-one thousand, one hundred forty-four".