412532736 has 240 divisors, whose sum is σ = 1384078080. Its totient is φ = 106168320.

The previous prime is 412532719. The next prime is 412532741. The reversal of 412532736 is 637235214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 412532697 and 412532706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784650 + ... + 3784758.

It is an arithmetic number, because the mean of its divisors is an integer number (5766992).

Almost surely, 2^412532736 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 412532736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692039040).

412532736 is an abundant number, since it is smaller than the sum of its proper divisors (971545344).

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

412532736 is a wasteful number, since it uses less digits than its factorization.

412532736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 412532736 is about 20310.9019002111. The cubic root of 412532736 is about 744.4224678908.

The spelling of 412532736 in words is "four hundred twelve million, five hundred thirty-two thousand, seven hundred thirty-six".