248746900 has 36 divisors (see below), whose sum is σ = 544582332. Its totient is φ = 98613760.

The previous prime is 248746853. The next prime is 248746903. The reversal of 248746900 is 9647842.

It can be written as a sum of positive squares in 6 ways, for example, as 32421636 + 216325264 = 5694^2 + 14708^2 .

It is a super-2 number, since 2×248746900² = 123750040519220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248746903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294 + ... + 22306.

It is an arithmetic number, because the mean of its divisors is an integer number (15127287).

Almost surely, 2^248746900 is an apocalyptic number.

248746900 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 248746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272291166).

248746900 is an abundant number, since it is smaller than the sum of its proper divisors (295835432).

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

248746900 is a wasteful number, since it uses less digits than its factorization.

248746900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22133 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 248746900 is about 15771.7120186744. The cubic root of 248746900 is about 628.9062234083.

The spelling of 248746900 in words is "two hundred forty-eight million, seven hundred forty-six thousand, nine hundred".