477406400 has 84 divisors (see below), whose sum is σ = 1225887312. Its totient is φ = 182645760.

The previous prime is 477406399. The next prime is 477406403. The reversal of 477406400 is 4604774.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (477406403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30314 + ... + 43286.

Almost surely, 2^477406400 is an apocalyptic number.

477406400 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 477406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612943656).

477406400 is an abundant number, since it is smaller than the sum of its proper divisors (748480912).

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

477406400 is a wasteful number, since it uses less digits than its factorization.

477406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 477406400 is about 21849.6315758413. The cubic root of 477406400 is about 781.5607582931.

The spelling of 477406400 in words is "four hundred seventy-seven million, four hundred six thousand, four hundred".