948744720 has 480 divisors, whose sum is σ = 4034384640. Its totient is φ = 194088960.

The previous prime is 948744707. The next prime is 948744743. The reversal of 948744720 is 27447849.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6042882 + ... + 6043038.

It is an arithmetic number, because the mean of its divisors is an integer number (8404968).

Almost surely, 2^948744720 is an apocalyptic number.

948744720 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 948744720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017192320).

948744720 is an abundant number, since it is smaller than the sum of its proper divisors (3085639920).

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

948744720 is a wasteful number, since it uses less digits than its factorization.

948744720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 948744720 is about 30801.6999530870. The cubic root of 948744720 is about 982.6143992037.

The spelling of 948744720 in words is "nine hundred forty-eight million, seven hundred forty-four thousand, seven hundred twenty".