248994000 has 400 divisors, whose sum is σ = 947952720. Its totient is φ = 62899200.

The previous prime is 248993981. The next prime is 248994001. The reversal of 248994000 is 499842.

It is a happy number.

248994000 is a `hidden beast` number, since 248 + 9 + 9 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52881984 + 196112016 = 7272^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248994001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4697974 + ... + 4698026.

Almost surely, 2^248994000 is an apocalyptic number.

248994000 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 248994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473976360).

248994000 is an abundant number, since it is smaller than the sum of its proper divisors (698958720).

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

248994000 is a wasteful number, since it uses less digits than its factorization.

248994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

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

The square root of 248994000 is about 15779.5437196390. The cubic root of 248994000 is about 629.1144019467.

The spelling of 248994000 in words is "two hundred forty-eight million, nine hundred ninety-four thousand".