948825900 has 360 divisors, whose sum is σ = 3508775424. Its totient is φ = 219542400.

The previous prime is 948825893. The next prime is 948825901. The reversal of 948825900 is 9528849.

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 (948825901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2049069 + ... + 2049531.

Almost surely, 2^948825900 is an apocalyptic number.

948825900 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 948825900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754387712).

948825900 is an abundant number, since it is smaller than the sum of its proper divisors (2559949524).

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

948825900 is a wasteful number, since it uses less digits than its factorization.

948825900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 948825900 is about 30803.0177093089. The cubic root of 948825900 is about 982.6424244319.

The spelling of 948825900 in words is "nine hundred forty-eight million, eight hundred twenty-five thousand, nine hundred".