413892648 has 48 divisors (see below), whose sum is σ = 1207189620. Its totient is φ = 127351296.

The previous prime is 413892641. The next prime is 413892649. The reversal of 413892648 is 846298314.

It is a happy number.

413892648 is a `hidden beast` number, since 4 + 1 + 389 + 264 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 399920004 + 13972644 = 19998^2 + 3738^2 .

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

It is not an unprimeable number, because it can be changed into a prime (413892641) 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, 220161 + ... + 222032.

Almost surely, 2^413892648 is an apocalyptic number.

It is an amenable number.

413892648 is an abundant number, since it is smaller than the sum of its proper divisors (793296972).

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

413892648 is a wasteful number, since it uses less digits than its factorization.

413892648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442218 (or 442211 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 413892648 is about 20344.3517468608. The cubic root of 413892648 is about 745.2395656147.

The spelling of 413892648 in words is "four hundred thirteen million, eight hundred ninety-two thousand, six hundred forty-eight".