476311680 has 192 divisors, whose sum is σ = 1771562520. Its totient is φ = 117227520.

The previous prime is 476311663. The next prime is 476311681. The reversal of 476311680 is 86113674.

476311680 is a `hidden beast` number, since 4 + 7 + 631 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 241118784 = 15336^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476311681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71700 + ... + 78060.

Almost surely, 2^476311680 is an apocalyptic number.

476311680 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 476311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885781260).

476311680 is an abundant number, since it is smaller than the sum of its proper divisors (1295250840).

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

476311680 is a wasteful number, since it uses less digits than its factorization.

476311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 476311680 is about 21824.5659750658. The cubic root of 476311680 is about 780.9629133543.

The spelling of 476311680 in words is "four hundred seventy-six million, three hundred eleven thousand, six hundred eighty".