476889120 has 240 divisors, whose sum is σ = 1738775808. Its totient is φ = 122964480.

The previous prime is 476889103. The next prime is 476889139. The reversal of 476889120 is 21988674.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401167 + ... + 402353.

Almost surely, 2^476889120 is an apocalyptic number.

476889120 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 476889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869387904).

476889120 is an abundant number, since it is smaller than the sum of its proper divisors (1261886688).

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

476889120 is a wasteful number, since it uses less digits than its factorization.

476889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 476889120 is about 21837.7910970867. The cubic root of 476889120 is about 781.2783770386.

The spelling of 476889120 in words is "four hundred seventy-six million, eight hundred eighty-nine thousand, one hundred twenty".