413760312 has 240 divisors, whose sum is σ = 1373054760. Its totient is φ = 116049024.

The previous prime is 413760311. The next prime is 413760323. The reversal of 413760312 is 213067314.

413760312 is a `hidden beast` number, since 41 + 3 + 7 + 603 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413760311) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2635338 + ... + 2635494.

Almost surely, 2^413760312 is an apocalyptic number.

413760312 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 413760312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686527380).

413760312 is an abundant number, since it is smaller than the sum of its proper divisors (959294448).

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

413760312 is a wasteful number, since it uses less digits than its factorization.

413760312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 413760312 is about 20341.0990853493. The cubic root of 413760312 is about 745.1601307367.

The spelling of 413760312 in words is "four hundred thirteen million, seven hundred sixty thousand, three hundred twelve".