949497120 has 768 divisors, whose sum is σ = 4115059200. Its totient is φ = 201277440.

The previous prime is 949497113. The next prime is 949497151. The reversal of 949497120 is 21794949.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 17915014 + ... + 17915066.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2^949497120 is an apocalyptic number.

949497120 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 949497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057529600).

949497120 is an abundant number, since it is smaller than the sum of its proper divisors (3165562080).

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

949497120 is a wasteful number, since it uses less digits than its factorization.

949497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 949497120 is about 30813.9111441570. The cubic root of 949497120 is about 982.8740839942.

The spelling of 949497120 in words is "nine hundred forty-nine million, four hundred ninety-seven thousand, one hundred twenty".