413747712 has 240 divisors, whose sum is σ = 1389053952. Its totient is φ = 116121600.

The previous prime is 413747681. The next prime is 413747729. The reversal of 413747712 is 217747314.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3257793 + ... + 3257919.

Almost surely, 2^413747712 is an apocalyptic number.

413747712 is a gapful number since it is divisible by the number (42) 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 413747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694526976).

413747712 is an abundant number, since it is smaller than the sum of its proper divisors (975306240).

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

413747712 is a wasteful number, since it uses less digits than its factorization.

413747712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 413747712 is about 20340.7893652139. The cubic root of 413747712 is about 745.1525666851.

The spelling of 413747712 in words is "four hundred thirteen million, seven hundred forty-seven thousand, seven hundred twelve".