416072316 has 48 divisors (see below), whose sum is σ = 1061182080. Its totient is φ = 125833920.

The previous prime is 416072303. The next prime is 416072329. The reversal of 416072316 is 613270614.

It is an interprime number because it is at equal distance from previous prime (416072303) and next prime (416072329).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70695 + ... + 76353.

It is an arithmetic number, because the mean of its divisors is an integer number (22107960).

Almost surely, 2^416072316 is an apocalyptic number.

It is an amenable number.

416072316 is an abundant number, since it is smaller than the sum of its proper divisors (645109764).

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

416072316 is a wasteful number, since it uses less digits than its factorization.

416072316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 416072316 is about 20397.8507691374. The cubic root of 416072316 is about 746.5454853118.

The spelling of 416072316 in words is "four hundred sixteen million, seventy-two thousand, three hundred sixteen".