948954240 has 768 divisors, whose sum is σ = 4009824000. Its totient is φ = 204374016.

The previous prime is 948954203. The next prime is 948954313. The reversal of 948954240 is 42459849.

It is a super-2 number, since 2×948954240² = 1801028299227955200, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32722546 + ... + 32722574.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^948954240 is an apocalyptic number.

948954240 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 948954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

948954240 is an abundant number, since it is smaller than the sum of its proper divisors (3060869760).

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

948954240 is a wasteful number, since it uses less digits than its factorization.

948954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 948954240 is about 30805.1008763159. The cubic root of 948954240 is about 982.6867271304.

The spelling of 948954240 in words is "nine hundred forty-eight million, nine hundred fifty-four thousand, two hundred forty".