476618880 has 256 divisors, whose sum is σ = 1628605440. Its totient is φ = 118272000.

The previous prime is 476618833. The next prime is 476618881. The reversal of 476618880 is 88816674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476618881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898755 + ... + 1899005.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^476618880 is an apocalyptic number.

476618880 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 476618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

476618880 is an abundant number, since it is smaller than the sum of its proper divisors (1151986560).

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

476618880 is a wasteful number, since it uses less digits than its factorization.

476618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 476618880 is about 21831.6027812893. The cubic root of 476618880 is about 781.1307728029.

The spelling of 476618880 in words is "four hundred seventy-six million, six hundred eighteen thousand, eight hundred eighty".