412440800 has 72 divisors (see below), whose sum is σ = 1014388200. Its totient is φ = 163745280.

The previous prime is 412440797. The next prime is 412440803. The reversal of 412440800 is 8044214.

It is an interprime number because it is at equal distance from previous prime (412440797) and next prime (412440803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412440803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109346 + ... + 113054.

It is an arithmetic number, because the mean of its divisors is an integer number (14088725).

Almost surely, 2^412440800 is an apocalyptic number.

412440800 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 412440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507194100).

412440800 is an abundant number, since it is smaller than the sum of its proper divisors (601947400).

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

412440800 is a wasteful number, since it uses less digits than its factorization.

412440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 412440800 is about 20308.6385560431. The cubic root of 412440800 is about 744.3671637475.

The spelling of 412440800 in words is "four hundred twelve million, four hundred forty thousand, eight hundred".