412253400 has 192 divisors, whose sum is σ = 1457719200. Its totient is φ = 95477760.

The previous prime is 412253377. The next prime is 412253437. The reversal of 412253400 is 4352214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131046 + ... + 134154.

Almost surely, 2^412253400 is an apocalyptic number.

412253400 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 412253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728859600).

412253400 is an abundant number, since it is smaller than the sum of its proper divisors (1045465800).

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

412253400 is a wasteful number, since it uses less digits than its factorization.

412253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 412253400 is about 20304.0242316640. The cubic root of 412253400 is about 744.2544077357.

The spelling of 412253400 in words is "four hundred twelve million, two hundred fifty-three thousand, four hundred".