477564640 has 96 divisors (see below), whose sum is σ = 1345559040. Its totient is φ = 156609024.

The previous prime is 477564631. The next prime is 477564667. The reversal of 477564640 is 46465774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16491 + ... + 35029.

It is an arithmetic number, because the mean of its divisors is an integer number (14016240).

Almost surely, 2^477564640 is an apocalyptic number.

477564640 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 477564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672779520).

477564640 is an abundant number, since it is smaller than the sum of its proper divisors (867994400).

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

477564640 is a wasteful number, since it uses less digits than its factorization.

477564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18584 (or 18576 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The square root of 477564640 is about 21853.2523895186. The cubic root of 477564640 is about 781.6471001831.

The spelling of 477564640 in words is "four hundred seventy-seven million, five hundred sixty-four thousand, six hundred forty".