476720640 has 600 divisors, whose sum is σ = 1975576680. Its totient is φ = 109486080.

The previous prime is 476720591. The next prime is 476720641. The reversal of 476720640 is 46027674.

476720640 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 2 + 0 + 640 = 666.

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 = 476720595 and 476720604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476720641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25090551 + ... + 25090569.

Almost surely, 2^476720640 is an apocalyptic number.

476720640 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 476720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987788340).

476720640 is an abundant number, since it is smaller than the sum of its proper divisors (1498856040).

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

476720640 is a wasteful number, since it uses less digits than its factorization.

476720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 476720640 is about 21833.9332233109. The cubic root of 476720640 is about 781.1863603415.

The spelling of 476720640 in words is "four hundred seventy-six million, seven hundred twenty thousand, six hundred forty".