949294080 has 528 divisors, whose sum is σ = 3934170240. Its totient is φ = 214990848.

The previous prime is 949294057. The next prime is 949294097. The reversal of 949294080 is 80492949.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8709066 + ... + 8709174.

It is an arithmetic number, because the mean of its divisors is an integer number (7451080).

Almost surely, 2^949294080 is an apocalyptic number.

949294080 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 949294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967085120).

949294080 is an abundant number, since it is smaller than the sum of its proper divisors (2984876160).

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

949294080 is a wasteful number, since it uses less digits than its factorization.

949294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 949294080 is about 30810.6163521602. The cubic root of 949294080 is about 982.8040198953.

The spelling of 949294080 in words is "nine hundred forty-nine million, two hundred ninety-four thousand, eighty".