476456484 has 192 divisors, whose sum is σ = 1424424960. Its totient is φ = 120821760.

The previous prime is 476456479. The next prime is 476456489. The reversal of 476456484 is 484654674.

It is an interprime number because it is at equal distance from previous prime (476456479) and next prime (476456489).

It is a super-2 number, since 2×476456484² = 454021562291284512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2580480) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (476456489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2080482 + ... + 2080710.

It is an arithmetic number, because the mean of its divisors is an integer number (7418880).

Almost surely, 2^476456484 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 476456484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712212480).

476456484 is an abundant number, since it is smaller than the sum of its proper divisors (947968476).

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

476456484 is a wasteful number, since it uses less digits than its factorization.

476456484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 476456484 is about 21827.8831772575. The cubic root of 476456484 is about 781.0420457799.

The spelling of 476456484 in words is "four hundred seventy-six million, four hundred fifty-six thousand, four hundred eighty-four".