414101090 has 32 divisors (see below), whose sum is σ = 806803200. Its totient is φ = 152121024.

The previous prime is 414101081. The next prime is 414101099. The reversal of 414101090 is 90101414.

It is an interprime number because it is at equal distance from previous prime (414101081) and next prime (414101099).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (414101099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17867 + ... + 33873.

It is an arithmetic number, because the mean of its divisors is an integer number (25212600).

Almost surely, 2^414101090 is an apocalyptic number.

414101090 is a deficient number, since it is larger than the sum of its proper divisors (392702110).

414101090 is a wasteful number, since it uses less digits than its factorization.

414101090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16226.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 414101090 is about 20349.4739489747. The cubic root of 414101090 is about 745.3646488994.

The spelling of 414101090 in words is "four hundred fourteen million, one hundred one thousand, ninety".