412090000 has 225 divisors, whose sum is σ = 1202003517. Its totient is φ = 136416000.

The previous prime is 412089973. The next prime is 412090001. The reversal of 412090000 is 90214.

The square root of 412090000 is 20300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 308213136 + 103876864 = 17556^2 + 10192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412090001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14209986 + ... + 14210014.

Almost surely, 2^412090000 is an apocalyptic number.

412090000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

412090000 is the 20300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412090000

412090000 is an abundant number, since it is smaller than the sum of its proper divisors (789913517).

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

412090000 is an equidigital number, since it uses as much as digits as its factorization.

412090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 412090000 is about 744.1560643050.

Multiplying 412090000 by its sum of digits (16), we get a square (6593440000 = 81200²).

412090000 divided by its sum of digits (16) gives a square (25755625 = 5075²).

The spelling of 412090000 in words is "four hundred twelve million, ninety thousand".