413948 has 12 divisors (see below), whose sum is σ = 729120. Its totient is φ = 205632.

The previous prime is 413923. The next prime is 413951. The reversal of 413948 is 849314.

It is a self number, because there is not a number n which added to its sum of digits gives 413948.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413948.

It is an unprimeable number.

413948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 740 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

2⁴¹³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

413948 is a deficient number, since it is larger than the sum of its proper divisors (315172).

413948 is a wasteful number, since it uses less digits than its factorization.

413948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 413948 is about 643.3879078752. The cubic root of 413948 is about 74.5272785712.

The spelling of 413948 in words is "four hundred thirteen thousand, nine hundred forty-eight".