900419712 has 64 divisors (see below), whose sum is σ = 2403291360. Its totient is φ = 298690560.

The previous prime is 900419701. The next prime is 900419743. The reversal of 900419712 is 217914009.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75468 + ... + 86580.

Almost surely, 2^900419712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201645680).

900419712 is an abundant number, since it is smaller than the sum of its proper divisors (1502871648).

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

900419712 is a wasteful number, since it uses less digits than its factorization.

900419712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11329 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 900419712 is about 30006.9943846431. The cubic root of 900419712 is about 965.6394455333.

The spelling of 900419712 in words is "nine hundred million, four hundred nineteen thousand, seven hundred twelve".