476110464 has 64 divisors (see below), whose sum is σ = 1266986880. Its totient is φ = 158412800.

The previous prime is 476110463. The next prime is 476110469. The reversal of 476110464 is 464011674.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (476110463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349144 + ... + 350504.

It is an arithmetic number, because the mean of its divisors is an integer number (19796670).

Almost surely, 2^476110464 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 476110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633493440).

476110464 is an abundant number, since it is smaller than the sum of its proper divisors (790876416).

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

476110464 is a wasteful number, since it uses less digits than its factorization.

476110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 476110464 is about 21819.9556369851. The cubic root of 476110464 is about 780.8529262923.

It can be divided in two parts, 4761 and 10464, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 476110464 in words is "four hundred seventy-six million, one hundred ten thousand, four hundred sixty-four".