476224000 has 160 divisors (see below), whose sum is σ = 1358413056. Its totient is φ = 163123200.

The previous prime is 476223997. The next prime is 476224031. The reversal of 476224000 is 422674.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447469 + ... + 448531.

Almost surely, 2^476224000 is an apocalyptic number.

476224000 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 476224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679206528).

476224000 is an abundant number, since it is smaller than the sum of its proper divisors (882189056).

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

476224000 is an equidigital number, since it uses as much as digits as its factorization.

476224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 476224000 is about 21822.5571370543. The cubic root of 476224000 is about 780.9149902308.

Adding to 476224000 its reverse (422674), we get a palindrome (476646674).

The spelling of 476224000 in words is "four hundred seventy-six million, two hundred twenty-four thousand".