999914400 has 216 divisors, whose sum is σ = 3560045580. Its totient is φ = 264069120.

The previous prime is 999914341. The next prime is 999914407. The reversal of 999914400 is 4419999.

999914400 is digitally balanced in base 6, 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 6 ways, for example, as 369100944 + 630813456 = 19212^2 + 25116^2 .

It is a super-3 number, since 3×999914400³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (999914407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 812986 + ... + 814214.

Almost surely, 2^999914400 is an apocalyptic number.

999914400 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 999914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780022790).

999914400 is an abundant number, since it is smaller than the sum of its proper divisors (2560131180).

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

999914400 is a wasteful number, since it uses less digits than its factorization.

999914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 999914400 is about 31621.4231178801. The cubic root of 999914400 is about 999.9714658525.

The spelling of 999914400 in words is "nine hundred ninety-nine million, nine hundred fourteen thousand, four hundred".