414948 has 24 divisors (see below), whose sum is σ = 978880. Its totient is φ = 136800.

The previous prime is 414929. The next prime is 414949. The reversal of 414948 is 849414.

It is not an unprimeable number, because it can be changed into a prime (414949) by changing a digit.

414948 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 7 ways as a sum of consecutive naturals, for example, 1698 + ... + 1926.

2⁴¹⁴⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

414948 is an abundant number, since it is smaller than the sum of its proper divisors (563932).

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

414948 is a wasteful number, since it uses less digits than its factorization.

414948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 414948 is about 644.1645752446. The cubic root of 414948 is about 74.5872437082.

The spelling of 414948 in words is "four hundred fourteen thousand, nine hundred forty-eight".