990146304 has 324 divisors, whose sum is σ = 3425343376. Its totient is φ = 269402112.

The previous prime is 990146257. The next prime is 990146359. The reversal of 990146304 is 403641099.

990146304 is a `hidden beast` number, since 9 + 9 + 0 + 14 + 630 + 4 = 666.

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 35 ways as a sum of consecutive naturals, for example, 13563612 + ... + 13563684.

Almost surely, 2^990146304 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 990146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712671688).

990146304 is an abundant number, since it is smaller than the sum of its proper divisors (2435197072).

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

990146304 is a wasteful number, since it uses less digits than its factorization.

990146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 990146304 is about 31466.5902823932. The cubic root of 990146304 is about 996.7045868479.

The spelling of 990146304 in words is "nine hundred ninety million, one hundred forty-six thousand, three hundred four".