412876800 has 342 divisors, whose sum is σ = 1690301288. Its totient is φ = 94371840.

The previous prime is 412876769. The next prime is 412876813. The reversal of 412876800 is 8678214.

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 17 ways as a sum of consecutive naturals, for example, 58982397 + ... + 58982403.

Almost surely, 2^412876800 is an apocalyptic number.

412876800 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 412876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845150644).

412876800 is an abundant number, since it is smaller than the sum of its proper divisors (1277424488).

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

412876800 is an frugal number, since it uses more digits than its factorization.

412876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 412876800 is about 20319.3700689761. The cubic root of 412876800 is about 744.6293668642.

The spelling of 412876800 in words is "four hundred twelve million, eight hundred seventy-six thousand, eight hundred".