412050080 has 192 divisors, whose sum is σ = 1140023808. Its totient is φ = 139345920.

The previous prime is 412050077. The next prime is 412050157. The reversal of 412050080 is 80050214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520345 + ... + 1520615.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2^412050080 is an apocalyptic number.

412050080 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 412050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570011904).

412050080 is an abundant number, since it is smaller than the sum of its proper divisors (727973728).

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

412050080 is a wasteful number, since it uses less digits than its factorization.

412050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 412050080 is about 20299.0167249549. The cubic root of 412050080 is about 744.1320342231.

The spelling of 412050080 in words is "four hundred twelve million, fifty thousand, eighty".