413985456 has 60 divisors (see below), whose sum is σ = 1167758592. Its totient is φ = 136902528.

The previous prime is 413985443. The next prime is 413985457. The reversal of 413985456 is 654589314.

413985456 is a `hidden beast` number, since 4 + 13 + 98 + 545 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (413985457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6970 + ... + 29606.

Almost surely, 2^413985456 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 413985456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583879296).

413985456 is an abundant number, since it is smaller than the sum of its proper divisors (753773136).

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

413985456 is a wasteful number, since it uses less digits than its factorization.

413985456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22778 (or 22769 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 413985456 is about 20346.6325469351. The cubic root of 413985456 is about 745.2952636521.

The spelling of 413985456 in words is "four hundred thirteen million, nine hundred eighty-five thousand, four hundred fifty-six".