994190400 has 378 divisors, whose sum is σ = 4113416970. Its totient is φ = 227082240.

The previous prime is 994190399. The next prime is 994190443. The reversal of 994190400 is 4091499.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 986965056 = 2688^2 + 31416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704896 + ... + 706304.

Almost surely, 2^994190400 is an apocalyptic number.

994190400 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 994190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056708485).

994190400 is an abundant number, since it is smaller than the sum of its proper divisors (3119226570).

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

994190400 is a wasteful number, since it uses less digits than its factorization.

994190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 994190400 is about 31530.7849569274. The cubic root of 994190400 is about 998.0597043544.

The spelling of 994190400 in words is "nine hundred ninety-four million, one hundred ninety thousand, four hundred".