477179640 has 384 divisors, whose sum is σ = 1891123200. Its totient is φ = 106686720.

The previous prime is 477179609. The next prime is 477179653. The reversal of 477179640 is 46971774.

477179640 is a `hidden beast` number, since 477 + 179 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3757257 + ... + 3757383.

It is an arithmetic number, because the mean of its divisors is an integer number (4924800).

Almost surely, 2^477179640 is an apocalyptic number.

477179640 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 477179640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945561600).

477179640 is an abundant number, since it is smaller than the sum of its proper divisors (1413943560).

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

477179640 is a wasteful number, since it uses less digits than its factorization.

477179640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 477179640 is about 21844.4418559962. The cubic root of 477179640 is about 781.4369959634.

The spelling of 477179640 in words is "four hundred seventy-seven million, one hundred seventy-nine thousand, six hundred forty".