412142400 has 126 divisors (see below), whose sum is σ = 1464902582. Its totient is φ = 109900800.

The previous prime is 412142387. The next prime is 412142417. The reversal of 412142400 is 4241214.

412142400 is a `hidden beast` number, since 412 + 14 + 240 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 408363264 = 1944^2 + 20208^2 .

It is a super-2 number, since 2×412142400² = 339722715755520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 90 + ... + 28710.

Almost surely, 2^412142400 is an apocalyptic number.

412142400 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 412142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732451291).

412142400 is an abundant number, since it is smaller than the sum of its proper divisors (1052760182).

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

412142400 is a wasteful number, since it uses less digits than its factorization.

412142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28649 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412142400 is about 20301.2905993683. The cubic root of 412142400 is about 744.1876044420.

Adding to 412142400 its reverse (4241214), we get a palindrome (416383614).

The spelling of 412142400 in words is "four hundred twelve million, one hundred forty-two thousand, four hundred".