412268000 has 48 divisors (see below), whose sum is σ = 1012952304. Its totient is φ = 164905600.

The previous prime is 412267993. The next prime is 412268033. The reversal of 412268000 is 862214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47534 + ... + 55533.

It is an arithmetic number, because the mean of its divisors is an integer number (21103173).

Almost surely, 2^412268000 is an apocalyptic number.

412268000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412268000 is an abundant number, since it is smaller than the sum of its proper divisors (600684304).

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

412268000 is a wasteful number, since it uses less digits than its factorization.

412268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103092 (or 103074 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 412268000 is about 20304.3837631187. The cubic root of 412268000 is about 744.2631935828.

The spelling of 412268000 in words is "four hundred twelve million, two hundred sixty-eight thousand".