476240688 has 320 divisors, whose sum is σ = 1733222400. Its totient is φ = 121616640.

The previous prime is 476240683. The next prime is 476240701. The reversal of 476240688 is 886042674.

It is a super-3 number, since 3×476240688³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (476240683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3426123 + ... + 3426261.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^476240688 is an apocalyptic number.

476240688 is a gapful number since it is divisible by the number (48) 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 476240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866611200).

476240688 is an abundant number, since it is smaller than the sum of its proper divisors (1256981712).

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

476240688 is a wasteful number, since it uses less digits than its factorization.

476240688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 476240688 is about 21822.9394903620. The cubic root of 476240688 is about 780.9241118187.

The spelling of 476240688 in words is "four hundred seventy-six million, two hundred forty thousand, six hundred eighty-eight".