900854460 has 336 divisors, whose sum is σ = 3192854112. Its totient is φ = 211507200.

The previous prime is 900854443. The next prime is 900854477. The reversal of 900854460 is 64458009.

It is an interprime number because it is at equal distance from previous prime (900854443) and next prime (900854477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6575512 + ... + 6575648.

It is an arithmetic number, because the mean of its divisors is an integer number (9502542).

Almost surely, 2^900854460 is an apocalyptic number.

900854460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900854460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596427056).

900854460 is an abundant number, since it is smaller than the sum of its proper divisors (2291999652).

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

900854460 is a wasteful number, since it uses less digits than its factorization.

900854460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 900854460 is about 30014.2376215022. The cubic root of 900854460 is about 965.7948331690.

The spelling of 900854460 in words is "nine hundred million, eight hundred fifty-four thousand, four hundred sixty".