412553736 has 288 divisors, whose sum is σ = 1389286080. Its totient is φ = 114307200.

The previous prime is 412553731. The next prime is 412553809. The reversal of 412553736 is 637355214.

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 412553736.

It is not an unprimeable number, because it can be changed into a prime (412553731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5810581 + ... + 5810651.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^412553736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412553736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

412553736 is an abundant number, since it is smaller than the sum of its proper divisors (976732344).

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

412553736 is a wasteful number, since it uses less digits than its factorization.

412553736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 412553736 is about 20311.4188573817. The cubic root of 412553736 is about 744.4350992977.

The spelling of 412553736 in words is "four hundred twelve million, five hundred fifty-three thousand, seven hundred thirty-six".