474789120 has 144 divisors (see below), whose sum is σ = 1633172352. Its totient is φ = 116858880.

The previous prime is 474789113. The next prime is 474789151. The reversal of 474789120 is 21987474.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 45165 + ... + 54675.

Almost surely, 2^474789120 is an apocalyptic number.

474789120 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 474789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816586176).

474789120 is an abundant number, since it is smaller than the sum of its proper divisors (1158383232).

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

474789120 is a wasteful number, since it uses less digits than its factorization.

474789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 474789120 is about 21789.6562616302. The cubic root of 474789120 is about 780.1298928977.

The spelling of 474789120 in words is "four hundred seventy-four million, seven hundred eighty-nine thousand, one hundred twenty".