476486400 has 432 divisors, whose sum is σ = 1788385536. Its totient is φ = 110837760.

The previous prime is 476486383. The next prime is 476486401. The reversal of 476486400 is 4684674.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476486401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5740759 + ... + 5740841.

Almost surely, 2^476486400 is an apocalyptic number.

476486400 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 476486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894192768).

476486400 is an abundant number, since it is smaller than the sum of its proper divisors (1311899136).

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

476486400 is a wasteful number, since it uses less digits than its factorization.

476486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 476486400 is about 21828.5684367986. The cubic root of 476486400 is about 781.0583922639.

The spelling of 476486400 in words is "four hundred seventy-six million, four hundred eighty-six thousand, four hundred".