948520000 has 140 divisors (see below), whose sum is σ = 2456663616. Its totient is φ = 362560000.

The previous prime is 948519967. The next prime is 948520007. The reversal of 948520000 is 25849.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (948520007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919485 + ... + 920515.

Almost surely, 2^948520000 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 948520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228331808).

948520000 is an abundant number, since it is smaller than the sum of its proper divisors (1508143616).

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

948520000 is a wasteful number, since it uses less digits than its factorization.

948520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 948520000 is about 30798.0518864424. The cubic root of 948520000 is about 982.5368122830.

Adding to 948520000 its reverse (25849), we get a palindrome (948545849).

The spelling of 948520000 in words is "nine hundred forty-eight million, five hundred twenty thousand".