909968400 has 270 divisors, whose sum is σ = 3472679210. Its totient is φ = 220492800.

The previous prime is 909968383. The next prime is 909968443. The reversal of 909968400 is 4869909.

It can be written as a sum of positive squares in 3 ways, for example, as 184851216 + 725117184 = 13596^2 + 26928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 53 ways as a sum of consecutive naturals, for example, 434556 + ... + 436644.

Almost surely, 2^909968400 is an apocalyptic number.

909968400 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 909968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736339605).

909968400 is an abundant number, since it is smaller than the sum of its proper divisors (2562710810).

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

909968400 is a wasteful number, since it uses less digits than its factorization.

909968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 909968400 is about 30165.6824885498. The cubic root of 909968400 is about 969.0408913466.

The spelling of 909968400 in words is "nine hundred nine million, nine hundred sixty-eight thousand, four hundred".