248466900 has 288 divisors, whose sum is σ = 857945088. Its totient is φ = 54835200.

The previous prime is 248466893. The next prime is 248466973. The reversal of 248466900 is 9664842.

It is a super-2 number, since 2×248466900² = 123471600791220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2412249 + ... + 2412351.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^248466900 is an apocalyptic number.

248466900 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 248466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

248466900 is an abundant number, since it is smaller than the sum of its proper divisors (609478188).

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

248466900 is a wasteful number, since it uses less digits than its factorization.

248466900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 248466900 is about 15762.8328672228. The cubic root of 248466900 is about 628.6701603569.

The spelling of 248466900 in words is "two hundred forty-eight million, four hundred sixty-six thousand, nine hundred".