416297120 has 24 divisors (see below), whose sum is σ = 983502324. Its totient is φ = 166518784.

The previous prime is 416297107. The next prime is 416297129. The reversal of 416297120 is 21792614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 415996816 + 300304 = 20396^2 + 548^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (416297129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1300769 + ... + 1301088.

Almost surely, 2^416297120 is an apocalyptic number.

416297120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416297120 is an abundant number, since it is smaller than the sum of its proper divisors (567205204).

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

416297120 is a wasteful number, since it uses less digits than its factorization.

416297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601872 (or 2601864 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 416297120 is about 20403.3605075242. The cubic root of 416297120 is about 746.6799140223.

The spelling of 416297120 in words is "four hundred sixteen million, two hundred ninety-seven thousand, one hundred twenty".