416351112 has 64 divisors (see below), whose sum is σ = 1068672000. Its totient is φ = 135100224.

The previous prime is 416351107. The next prime is 416351113. The reversal of 416351112 is 211153614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (416351113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452589 + ... + 453507.

It is an arithmetic number, because the mean of its divisors is an integer number (16698000).

Almost surely, 2^416351112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416351112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534336000).

416351112 is an abundant number, since it is smaller than the sum of its proper divisors (652320888).

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

416351112 is a wasteful number, since it uses less digits than its factorization.

416351112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 416351112 is about 20404.6835800019. The cubic root of 416351112 is about 746.7121930503.

The spelling of 416351112 in words is "four hundred sixteen million, three hundred fifty-one thousand, one hundred twelve".