412706880 has 224 divisors, whose sum is σ = 1496446080. Its totient is φ = 106997760.

The previous prime is 412706863. The next prime is 412706893. The reversal of 412706880 is 88607214.

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

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, 319035 + ... + 320325.

Almost surely, 2^412706880 is an apocalyptic number.

412706880 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 412706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748223040).

412706880 is an abundant number, since it is smaller than the sum of its proper divisors (1083739200).

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

412706880 is a wasteful number, since it uses less digits than its factorization.

412706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1338 counting only the distinct ones).

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

The square root of 412706880 is about 20315.1884067069. The cubic root of 412706880 is about 744.5272017764.

The spelling of 412706880 in words is "four hundred twelve million, seven hundred six thousand, eight hundred eighty".