416648232 has 512 divisors, whose sum is σ = 1625702400. Its totient is φ = 95385600.

The previous prime is 416648213. The next prime is 416648233. The reversal of 416648232 is 232846614.

416648232 is a `hidden beast` number, since 4 + 1 + 6 + 648 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (416648233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8864833 + ... + 8864879.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^416648232 is an apocalyptic number.

416648232 is a gapful number since it is divisible by the number (42) 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 416648232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

416648232 is an abundant number, since it is smaller than the sum of its proper divisors (1209054168).

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

416648232 is a wasteful number, since it uses less digits than its factorization.

416648232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 416648232 is about 20411.9629629294. The cubic root of 416648232 is about 746.8897758367.

The spelling of 416648232 in words is "four hundred sixteen million, six hundred forty-eight thousand, two hundred thirty-two".