412400 has 30 divisors (see below), whose sum is σ = 991752. Its totient is φ = 164800.

The previous prime is 412397. The next prime is 412411. The reversal of 412400 is 4214.

412400 = T₂₁₉ + T₂₂₀ + ... + T₂₃₄.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116 + ... + 915.

2⁴¹²⁴⁰⁰ is an apocalyptic number.

412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412400 is an abundant number, since it is smaller than the sum of its proper divisors (579352).

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

412400 is a wasteful number, since it uses less digits than its factorization.

412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 412400 is about 642.1837743201. The cubic root of 412400 is about 74.4342617856.

Adding to 412400 its reverse (4214), we get a palindrome (416614).

The spelling of 412400 in words is "four hundred twelve thousand, four hundred", and thus it is an iban number.