949094400 has 288 divisors, whose sum is σ = 3241667520. Its totient is φ = 244776960.

The previous prime is 949094383. The next prime is 949094429. The reversal of 949094400 is 4490949.

It is a happy number.

It is a super-2 number, since 2×949094400² = 1801560360222720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5683117 + ... + 5683283.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^949094400 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 949094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

949094400 is an abundant number, since it is smaller than the sum of its proper divisors (2292573120).

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

949094400 is a wasteful number, since it uses less digits than its factorization.

949094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 949094400 is about 30807.3757402347. The cubic root of 949094400 is about 982.7351055050.

The spelling of 949094400 in words is "nine hundred forty-nine million, ninety-four thousand, four hundred".