412924200 has 192 divisors, whose sum is σ = 1391160960. Its totient is φ = 100715520.

The previous prime is 412924199. The next prime is 412924241. The reversal of 412924200 is 2429214.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1302442 + ... + 1302758.

It is an arithmetic number, because the mean of its divisors is an integer number (7245630).

Almost surely, 2^412924200 is an apocalyptic number.

412924200 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 412924200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695580480).

412924200 is an abundant number, since it is smaller than the sum of its proper divisors (978236760).

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

412924200 is a wasteful number, since it uses less digits than its factorization.

412924200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 412924200 is about 20320.5364102427. The cubic root of 412924200 is about 744.6578613056.

The spelling of 412924200 in words is "four hundred twelve million, nine hundred twenty-four thousand, two hundred".