476948640 has 384 divisors, whose sum is σ = 1873428480. Its totient is φ = 99532800.

The previous prime is 476948629. The next prime is 476948657. The reversal of 476948640 is 46849674.

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

It is a self number, because there is not a number n which added to its sum of digits gives 476948640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978920 + ... + 1979160.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^476948640 is an apocalyptic number.

476948640 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 476948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936714240).

476948640 is an abundant number, since it is smaller than the sum of its proper divisors (1396479840).

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

476948640 is a wasteful number, since it uses less digits than its factorization.

476948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 476948640 is about 21839.1538297618. The cubic root of 476948640 is about 781.3108791812.

The spelling of 476948640 in words is "four hundred seventy-six million, nine hundred forty-eight thousand, six hundred forty".