476542240 has 96 divisors (see below), whose sum is σ = 1169172144. Its totient is φ = 183398400.

The previous prime is 476542229. The next prime is 476542301. The reversal of 476542240 is 42245674.

It can be written as a sum of positive squares in 8 ways, for example, as 422549136 + 53993104 = 20556^2 + 7348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 476542196 and 476542205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597522 + ... + 598318.

Almost surely, 2^476542240 is an apocalyptic number.

476542240 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 476542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584586072).

476542240 is an abundant number, since it is smaller than the sum of its proper divisors (692629904).

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

476542240 is a wasteful number, since it uses less digits than its factorization.

476542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 476542240 is about 21829.8474570942. The cubic root of 476542240 is about 781.0889021217.

It can be divided in two parts, 47654 and 2240, that added together give a palindrome (49894).

The spelling of 476542240 in words is "four hundred seventy-six million, five hundred forty-two thousand, two hundred forty".