477432120 has 192 divisors, whose sum is σ = 1592680320. Its totient is φ = 114400000.

The previous prime is 477432113. The next prime is 477432143. The reversal of 477432120 is 21234774.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1901995 + ... + 1902245.

It is an arithmetic number, because the mean of its divisors is an integer number (8295210).

Almost surely, 2^477432120 is an apocalyptic number.

477432120 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 477432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796340160).

477432120 is an abundant number, since it is smaller than the sum of its proper divisors (1115248200).

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

477432120 is a wasteful number, since it uses less digits than its factorization.

477432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 477432120 is about 21850.2201361908. The cubic root of 477432120 is about 781.5747934224.

Adding to 477432120 its reverse (21234774), we get a palindrome (498666894).

The spelling of 477432120 in words is "four hundred seventy-seven million, four hundred thirty-two thousand, one hundred twenty".