416253312 has 96 divisors (see below), whose sum is σ = 1215915480. Its totient is φ = 136654848.

The previous prime is 416253239. The next prime is 416253371. The reversal of 416253312 is 213352614.

416253312 is a `hidden beast` number, since 4 + 1 + 625 + 3 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74488 + ... + 79880.

Almost surely, 2^416253312 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 416253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607957740).

416253312 is an abundant number, since it is smaller than the sum of its proper divisors (799662168).

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

416253312 is a wasteful number, since it uses less digits than its factorization.

416253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5465 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 416253312 is about 20402.2869306360. The cubic root of 416253312 is about 746.6537214309.

The spelling of 416253312 in words is "four hundred sixteen million, two hundred fifty-three thousand, three hundred twelve".