949720320 has 216 divisors, whose sum is σ = 3459674400. Its totient is φ = 239874048.

The previous prime is 949720273. The next prime is 949720327. The reversal of 949720320 is 23027949.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949720327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216711 + ... + 221049.

Almost surely, 2^949720320 is an apocalyptic number.

949720320 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 949720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729837200).

949720320 is an abundant number, since it is smaller than the sum of its proper divisors (2509954080).

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

949720320 is a wasteful number, since it uses less digits than its factorization.

949720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 949720320 is about 30817.5326721657. The cubic root of 949720320 is about 982.9510932880.

The spelling of 949720320 in words is "nine hundred forty-nine million, seven hundred twenty thousand, three hundred twenty".