900374784 has 72 divisors (see below), whose sum is σ = 2403351552. Its totient is φ = 299243520.

The previous prime is 900374779. The next prime is 900374821. The reversal of 900374784 is 487473009.

It is a super-3 number, since 3×900374784³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292614 + ... + 295674.

Almost surely, 2^900374784 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 900374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201675776).

900374784 is an abundant number, since it is smaller than the sum of its proper divisors (1502976768).

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

900374784 is a wasteful number, since it uses less digits than its factorization.

900374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 900374784 is about 30006.2457498435. The cubic root of 900374784 is about 965.6233845157.

The spelling of 900374784 in words is "nine hundred million, three hundred seventy-four thousand, seven hundred eighty-four".