474461120 has 84 divisors (see below), whose sum is σ = 1314312840. Its totient is φ = 162667008.

The previous prime is 474461093. The next prime is 474461129. The reversal of 474461120 is 21164474.

It is a happy number.

It is a super-2 number, since 2×474461120² = 450226708783308800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474461129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551 + ... + 30809.

Almost surely, 2^474461120 is an apocalyptic number.

474461120 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 474461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657156420).

474461120 is an abundant number, since it is smaller than the sum of its proper divisors (839851720).

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

474461120 is a wasteful number, since it uses less digits than its factorization.

474461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30290 (or 30273 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 474461120 is about 21782.1284543086. The cubic root of 474461120 is about 779.9502050175.

The spelling of 474461120 in words is "four hundred seventy-four million, four hundred sixty-one thousand, one hundred twenty".