412780000 has 60 divisors (see below), whose sum is σ = 1015549920. Its totient is φ = 165104000.

The previous prime is 412779971. The next prime is 412780021. The reversal of 412780000 is 87214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9681 + ... + 30319.

It is an arithmetic number, because the mean of its divisors is an integer number (16925832).

Almost surely, 2^412780000 is an apocalyptic number.

412780000 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 412780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507774960).

412780000 is an abundant number, since it is smaller than the sum of its proper divisors (602769920).

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

412780000 is an equidigital number, since it uses as much as digits as its factorization.

412780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20669 (or 20646 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 412780000 is about 20316.9879657394. The cubic root of 412780000 is about 744.5711689089.

The spelling of 412780000 in words is "four hundred twelve million, seven hundred eighty thousand".