412012800 has 324 divisors, whose sum is σ = 1542026304. Its totient is φ = 104755200.

The previous prime is 412012771. The next prime is 412012807. The reversal of 412012800 is 8210214.

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

It is not an unprimeable number, because it can be changed into a prime (412012807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324645 + ... + 1324955.

Almost surely, 2^412012800 is an apocalyptic number.

412012800 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 412012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771013152).

412012800 is an abundant number, since it is smaller than the sum of its proper divisors (1130013504).

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

412012800 is a wasteful number, since it uses less digits than its factorization.

412012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 412012800 is about 20298.0984331045. The cubic root of 412012800 is about 744.1095919034.

The spelling of 412012800 in words is "four hundred twelve million, twelve thousand, eight hundred".