948257280 has 400 divisors, whose sum is σ = 3609512280. Its totient is φ = 237109248.

The previous prime is 948257279. The next prime is 948257281. The reversal of 948257280 is 82752849.

It is an interprime number because it is at equal distance from previous prime (948257279) and next prime (948257281).

It can be written as a sum of positive squares in 4 ways, for example, as 664402176 + 283855104 = 25776^2 + 16848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (948257281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3524986 + ... + 3525254.

Almost surely, 2^948257280 is an apocalyptic number.

948257280 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 948257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804756140).

948257280 is an abundant number, since it is smaller than the sum of its proper divisors (2661255000).

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

948257280 is a wasteful number, since it uses less digits than its factorization.

948257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 948257280 is about 30793.7863862176. The cubic root of 948257280 is about 982.4460899270.

The spelling of 948257280 in words is "nine hundred forty-eight million, two hundred fifty-seven thousand, two hundred eighty".