474099120 has 240 divisors, whose sum is σ = 1793885184. Its totient is φ = 111168000.

The previous prime is 474099013. The next prime is 474099127. The reversal of 474099120 is 21990474.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (474099127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244555 + ... + 246485.

Almost surely, 2^474099120 is an apocalyptic number.

474099120 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 474099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896942592).

474099120 is an abundant number, since it is smaller than the sum of its proper divisors (1319786064).

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

474099120 is a wasteful number, since it uses less digits than its factorization.

474099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 474099120 is about 21773.8173042763. The cubic root of 474099120 is about 779.7517947938.

The spelling of 474099120 in words is "four hundred seventy-four million, ninety-nine thousand, one hundred twenty".