477116640 has 576 divisors, whose sum is σ = 2192666112. Its totient is φ = 91238400.

The previous prime is 477116639. The next prime is 477116677. The reversal of 477116640 is 46611774.

477116640 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 1 + 6 + 640 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 477116595 and 477116604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441275 + ... + 1441605.

It is an arithmetic number, because the mean of its divisors is an integer number (3806712).

Almost surely, 2^477116640 is an apocalyptic number.

477116640 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 477116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096333056).

477116640 is an abundant number, since it is smaller than the sum of its proper divisors (1715549472).

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

477116640 is a wasteful number, since it uses less digits than its factorization.

477116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 477116640 is about 21842.9997939843. Note that the first 3 decimals coincide. The cubic root of 477116640 is about 781.4026045146.

The spelling of 477116640 in words is "four hundred seventy-seven million, one hundred sixteen thousand, six hundred forty".