412732760 has 64 divisors (see below), whose sum is σ = 1045785600. Its totient is φ = 145238400.

The previous prime is 412732753. The next prime is 412732781. The reversal of 412732760 is 67237214.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1490 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (16340400).

Almost surely, 2^412732760 is an apocalyptic number.

412732760 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 412732760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522892800).

412732760 is an abundant number, since it is smaller than the sum of its proper divisors (633052840).

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

412732760 is a wasteful number, since it uses less digits than its factorization.

412732760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30312 (or 30308 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 412732760 is about 20315.8253585721. The cubic root of 412732760 is about 744.5427640412.

Adding to 412732760 its reverse (67237214), we get a palindrome (479969974).

The spelling of 412732760 in words is "four hundred twelve million, seven hundred thirty-two thousand, seven hundred sixty".