900414 has 12 divisors (see below), whose sum is σ = 1950936. Its totient is φ = 300132.

The previous prime is 900409. The next prime is 900443. The reversal of 900414 is 414009.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 50023 = 900414 / (9 + 0 + 0 + 4 + 1 + 4).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24994 + ... + 25029.

It is an arithmetic number, because the mean of its divisors is an integer number (162578).

2⁹⁰⁰⁴¹⁴ is an apocalyptic number.

900414 is an abundant number, since it is smaller than the sum of its proper divisors (1050522).

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

900414 is a wasteful number, since it uses less digits than its factorization.

900414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50031 (or 50028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 900414 is about 948.9014701222. The cubic root of 900414 is about 96.5637403617.

The spelling of 900414 in words is "nine hundred thousand, four hundred fourteen".