949598400 has 168 divisors, whose sum is σ = 3135552784. Its totient is φ = 251596800.

The previous prime is 949598389. The next prime is 949598413. The reversal of 949598400 is 4895949.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 949598400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868254 + ... + 869346.

Almost surely, 2^949598400 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 949598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567776392).

949598400 is an abundant number, since it is smaller than the sum of its proper divisors (2185954384).

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

949598400 is a wasteful number, since it uses less digits than its factorization.

949598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 949598400 is about 30815.5545139139. The cubic root of 949598400 is about 982.9090294918.

The spelling of 949598400 in words is "nine hundred forty-nine million, five hundred ninety-eight thousand, four hundred".