412120800 has 864 divisors, whose sum is σ = 1945000512. Its totient is φ = 79626240.

The previous prime is 412120799. The next prime is 412120853. The reversal of 412120800 is 8021214.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11138382 + ... + 11138418.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^412120800 is an apocalyptic number.

412120800 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 412120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972500256).

412120800 is an abundant number, since it is smaller than the sum of its proper divisors (1532879712).

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

412120800 is a wasteful number, since it uses less digits than its factorization.

412120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

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

The square root of 412120800 is about 20300.7586065152. The cubic root of 412120800 is about 744.1746034880.

The spelling of 412120800 in words is "four hundred twelve million, one hundred twenty thousand, eight hundred".