890984966400 has 1701 divisors, whose sum is σ = 3647983479609. Its totient is φ = 215304376320.

The previous prime is 890984966317. The next prime is 890984966413. The reversal of 890984966400 is 4669489098.

The square root of 890984966400 is 943920.

It is a perfect power (a square), and thus also a powerful number.

890984966400 is a `hidden beast` number, since 8 + 90 + 9 + 84 + 9 + 66 + 400 = 666.

890984966400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 320754587904 + 570230378496 = 566352^2 + 755136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 38738476789 + ... + 38738476811.

Almost surely, 2^890984966400 is an apocalyptic number.

890984966400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

890984966400 is the 943920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890984966400

890984966400 is an abundant number, since it is smaller than the sum of its proper divisors (2756998513209).

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

890984966400 is an equidigital number, since it uses as much as digits as its factorization.

890984966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 890984966400 in words is "eight hundred ninety billion, nine hundred eighty-four million, nine hundred sixty-six thousand, four hundred".