948490560 has 560 divisors, whose sum is σ = 3699881856. Its totient is φ = 229920768.

The previous prime is 948490519. The next prime is 948490573. The reversal of 948490560 is 65094849.

It is a happy number.

948490560 is a `hidden beast` number, since 9 + 4 + 84 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×948490560² = 1799268684818227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22057899 + ... + 22057941.

Almost surely, 2^948490560 is an apocalyptic number.

948490560 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 948490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849940928).

948490560 is an abundant number, since it is smaller than the sum of its proper divisors (2751391296).

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

948490560 is a wasteful number, since it uses less digits than its factorization.

948490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 948490560 is about 30797.5739304251. The cubic root of 948490560 is about 982.5266469085.

The spelling of 948490560 in words is "nine hundred forty-eight million, four hundred ninety thousand, five hundred sixty".