477000864 has 144 divisors (see below), whose sum is σ = 1430799552. Its totient is φ = 150441984.

The previous prime is 477000863. The next prime is 477000877. The reversal of 477000864 is 468000774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (477000863) 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, 708432 + ... + 709104.

It is an arithmetic number, because the mean of its divisors is an integer number (9936108).

Almost surely, 2^477000864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715399776).

477000864 is an abundant number, since it is smaller than the sum of its proper divisors (953798688).

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

477000864 is a wasteful number, since it uses less digits than its factorization.

477000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 477000864 is about 21840.3494477538. The cubic root of 477000864 is about 781.3393949631.

The spelling of 477000864 in words is "four hundred seventy-seven million, eight hundred sixty-four", and thus it is an aban number.