414099 has 24 divisors (see below), whose sum is σ = 715920. Its totient is φ = 235872.

The previous prime is 414097. The next prime is 414101. The reversal of 414099 is 990414.

It is an interprime number because it is at equal distance from previous prime (414097) and next prime (414101).

It is not a de Polignac number, because 414099 - 2¹ = 414097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (29830).

2⁴¹⁴⁰⁹⁹ is an apocalyptic number.

414099 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

414099 is a deficient number, since it is larger than the sum of its proper divisors (301821).

414099 is a wasteful number, since it uses less digits than its factorization.

414099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 414099 is about 643.5052447339. The cubic root of 414099 is about 74.5363394926.

The spelling of 414099 in words is "four hundred fourteen thousand, ninety-nine".