412736610 has 256 divisors, whose sum is σ = 1254113280. Its totient is φ = 85493760.

The previous prime is 412736609. The next prime is 412736617. The reversal of 412736610 is 16637214.

412736610 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (412736617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4637446 + ... + 4637534.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^412736610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412736610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

412736610 is an abundant number, since it is smaller than the sum of its proper divisors (841376670).

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

412736610 is a wasteful number, since it uses less digits than its factorization.

412736610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 412736610 is about 20315.9201120697. The cubic root of 412736610 is about 744.5450790830.

The spelling of 412736610 in words is "four hundred twelve million, seven hundred thirty-six thousand, six hundred ten".