949478880 has 384 divisors, whose sum is σ = 3580416000. Its totient is φ = 211341312.

The previous prime is 949478869. The next prime is 949478897. The reversal of 949478880 is 88874949.

It is a self number, because there is not a number n which added to its sum of digits gives 949478880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12018681 + ... + 12018759.

It is an arithmetic number, because the mean of its divisors is an integer number (9324000).

Almost surely, 2^949478880 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 949478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790208000).

949478880 is an abundant number, since it is smaller than the sum of its proper divisors (2630937120).

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

949478880 is a wasteful number, since it uses less digits than its factorization.

949478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 949478880 is about 30813.6151725175. The cubic root of 949478880 is about 982.8677902282.

The spelling of 949478880 in words is "nine hundred forty-nine million, four hundred seventy-eight thousand, eight hundred eighty".