414954 has 12 divisors (see below), whose sum is σ = 899106. Its totient is φ = 138312.

The previous prime is 414949. The next prime is 414959. The reversal of 414954 is 459414.

It is an interprime number because it is at equal distance from previous prime (414949) and next prime (414959).

It can be written as a sum of positive squares in only one way, i.e., 308025 + 106929 = 555^2 + 327^2 .

It is not an unprimeable number, because it can be changed into a prime (414959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11509 + ... + 11544.

2⁴¹⁴⁹⁵⁴ is an apocalyptic number.

414954 is an abundant number, since it is smaller than the sum of its proper divisors (484152).

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

414954 is a wasteful number, since it uses less digits than its factorization.

414954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23061 (or 23058 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 414954 is about 644.1692324227. The cubic root of 414954 is about 74.5876032081.

The spelling of 414954 in words is "four hundred fourteen thousand, nine hundred fifty-four".