248961600 has 420 divisors, whose sum is σ = 977525604. Its totient is φ = 61931520.

The previous prime is 248961599. The next prime is 248961611. The reversal of 248961600 is 6169842.

248961600 is a `hidden beast` number, since 2 + 48 + 9 + 6 + 1 + 600 = 666.

248961600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24681024 + 224280576 = 4968^2 + 14976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2203144 + ... + 2203256.

Almost surely, 2^248961600 is an apocalyptic number.

248961600 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 248961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488762802).

248961600 is an abundant number, since it is smaller than the sum of its proper divisors (728564004).

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

248961600 is a wasteful number, since it uses less digits than its factorization.

248961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 248961600 is about 15778.5170405840. The cubic root of 248961600 is about 629.0871132158.

The spelling of 248961600 in words is "two hundred forty-eight million, nine hundred sixty-one thousand, six hundred".