412220575800 has 288 divisors, whose sum is σ = 1513535783760. Its totient is φ = 99713280000.

The previous prime is 412220575787. The next prime is 412220575829. The reversal of 412220575800 is 8575022214.

It is a happy number.

412220575800 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 2 + 0 + 575 + 80 + 0 = 666.

It is a super-2 number, since 2×412220575800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9105220 + ... + 9150380.

Almost surely, 2^412220575800 is an apocalyptic number.

412220575800 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 412220575800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756767891880).

412220575800 is an abundant number, since it is smaller than the sum of its proper divisors (1101315207960).

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

412220575800 is a wasteful number, since it uses less digits than its factorization.

412220575800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45655 (or 45643 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 412220575800 in words is "four hundred twelve billion, two hundred twenty million, five hundred seventy-five thousand, eight hundred".