900214000 has 80 divisors (see below), whose sum is σ = 2487715776. Its totient is φ = 308640000.

The previous prime is 900213989. The next prime is 900214009. The reversal of 900214000 is 412009.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900214009) 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, 18151 + ... + 46150.

Almost surely, 2^900214000 is an apocalyptic number.

It is an amenable number.

900214000 is an abundant number, since it is smaller than the sum of its proper divisors (1587501776).

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

900214000 is a wasteful number, since it uses less digits than its factorization.

900214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64331 (or 64315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 900214000 is about 30003.5664546734. The cubic root of 900214000 is about 965.5659025146.

Adding to 900214000 its reverse (412009), we get a palindrome (900626009).

The spelling of 900214000 in words is "nine hundred million, two hundred fourteen thousand".