412150400 has 144 divisors (see below), whose sum is σ = 1063680990. Its totient is φ = 157685760.

The previous prime is 412150391. The next prime is 412150439. The reversal of 412150400 is 4051214.

It can be written as a sum of positive squares in 3 ways, for example, as 374499904 + 37650496 = 19352^2 + 6136^2 .

It is a super-3 number, since 3×412150400³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6985571 + ... + 6985629.

Almost surely, 2^412150400 is an apocalyptic number.

412150400 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 412150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531840495).

412150400 is an abundant number, since it is smaller than the sum of its proper divisors (651530590).

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

412150400 is an equidigital number, since it uses as much as digits as its factorization.

412150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 412150400 is about 20301.4876302206. The cubic root of 412150400 is about 744.1924194948.

The spelling of 412150400 in words is "four hundred twelve million, one hundred fifty thousand, four hundred".