949021920 has 576 divisors, whose sum is σ = 4200408576. Its totient is φ = 196577280.

The previous prime is 949021919. The next prime is 949021921. The reversal of 949021920 is 29120949.

It is an interprime number because it is at equal distance from previous prime (949021919) and next prime (949021921).

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 (949021921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2993602 + ... + 2993918.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2^949021920 is an apocalyptic number.

949021920 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 949021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100204288).

949021920 is an abundant number, since it is smaller than the sum of its proper divisors (3251386656).

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

949021920 is a wasteful number, since it uses less digits than its factorization.

949021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 949021920 is about 30806.1993760996. The cubic root of 949021920 is about 982.7100885156.

The spelling of 949021920 in words is "nine hundred forty-nine million, twenty-one thousand, nine hundred twenty".