474433920 has 192 divisors, whose sum is σ = 1691763840. Its totient is φ = 122388480.

The previous prime is 474433913. The next prime is 474433931. The reversal of 474433920 is 29334474.

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 a congruent number.

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, 177232 + ... + 179888.

It is an arithmetic number, because the mean of its divisors is an integer number (8811270).

Almost surely, 2^474433920 is an apocalyptic number.

474433920 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 474433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845881920).

474433920 is an abundant number, since it is smaller than the sum of its proper divisors (1217329920).

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

474433920 is a wasteful number, since it uses less digits than its factorization.

474433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 474433920 is about 21781.5040802971. The cubic root of 474433920 is about 779.9353003533.

The spelling of 474433920 in words is "four hundred seventy-four million, four hundred thirty-three thousand, nine hundred twenty".