477431424 has 192 divisors, whose sum is σ = 1475360640. Its totient is φ = 147806208.

The previous prime is 477431407. The next prime is 477431453. The reversal of 477431424 is 424134774.

It is a happy number.

477431424 is a `hidden beast` number, since 477 + 43 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980109 + ... + 980595.

It is an arithmetic number, because the mean of its divisors is an integer number (7684170).

Almost surely, 2^477431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737680320).

477431424 is an abundant number, since it is smaller than the sum of its proper divisors (997929216).

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

477431424 is a wasteful number, since it uses less digits than its factorization.

477431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 477431424 is about 21850.2042095720. The cubic root of 477431424 is about 781.5744136293.

The spelling of 477431424 in words is "four hundred seventy-seven million, four hundred thirty-one thousand, four hundred twenty-four".