949713024 has 384 divisors, whose sum is σ = 3133831680. Its totient is φ = 252149760.

The previous prime is 949713013. The next prime is 949713031. The reversal of 949713024 is 420317949.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30635889 + ... + 30635919.

It is an arithmetic number, because the mean of its divisors is an integer number (8161020).

Almost surely, 2^949713024 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 949713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566915840).

949713024 is an abundant number, since it is smaller than the sum of its proper divisors (2184118656).

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

949713024 is a wasteful number, since it uses less digits than its factorization.

949713024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 949713024 is about 30817.4142977635. The cubic root of 949713024 is about 982.9485761857.

The spelling of 949713024 in words is "nine hundred forty-nine million, seven hundred thirteen thousand, twenty-four".