248958900 has 288 divisors, whose sum is σ = 883276800. Its totient is φ = 59875200.

The previous prime is 248958889. The next prime is 248958911. The reversal of 248958900 is 9859842.

It is an interprime number because it is at equal distance from previous prime (248958889) and next prime (248958911).

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 95 ways as a sum of consecutive naturals, for example, 1179795 + ... + 1180005.

Almost surely, 2^248958900 is an apocalyptic number.

248958900 is a gapful number since it is divisible by the number (20) 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 248958900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441638400).

248958900 is an abundant number, since it is smaller than the sum of its proper divisors (634317900).

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

248958900 is a wasteful number, since it uses less digits than its factorization.

248958900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

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

The square root of 248958900 is about 15778.4314809806. The cubic root of 248958900 is about 629.0848390480.

The spelling of 248958900 in words is "two hundred forty-eight million, nine hundred fifty-eight thousand, nine hundred".