476382240 has 72 divisors (see below), whose sum is σ = 1625659308. Its totient is φ = 127034880.

The previous prime is 476382227. The next prime is 476382241. The reversal of 476382240 is 42283674.

It can be written as a sum of positive squares in 2 ways, for example, as 435473424 + 40908816 = 20868^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 476382195 and 476382204.

It is not an unprimeable number, because it can be changed into a prime (476382241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163971 + ... + 166850.

Almost surely, 2^476382240 is an apocalyptic number.

476382240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476382240 is an abundant number, since it is smaller than the sum of its proper divisors (1149277068).

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

476382240 is a wasteful number, since it uses less digits than its factorization.

476382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330842 (or 330831 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 476382240 is about 21826.1824421954. The cubic root of 476382240 is about 781.0014749549.

The spelling of 476382240 in words is "four hundred seventy-six million, three hundred eighty-two thousand, two hundred forty".