412264440 has 144 divisors (see below), whose sum is σ = 1558678680. Its totient is φ = 94227840.

The previous prime is 412264439. The next prime is 412264459. The reversal of 412264440 is 44462214.

It is a happy number.

412264440 is a `hidden beast` number, since 4 + 12 + 2 + 644 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5955 + ... + 29325.

Almost surely, 2^412264440 is an apocalyptic number.

412264440 is a gapful number since it is divisible by the number (40) 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 412264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779339340).

412264440 is an abundant number, since it is smaller than the sum of its proper divisors (1146414240).

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

412264440 is a wasteful number, since it uses less digits than its factorization.

412264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402 (or 23388 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 412264440 is about 20304.2960971318. The cubic root of 412264440 is about 744.2610512995.

The spelling of 412264440 in words is "four hundred twelve million, two hundred sixty-four thousand, four hundred forty".