248945400 has 360 divisors, whose sum is σ = 957855360. Its totient is φ = 59875200.

The previous prime is 248945387. The next prime is 248945413. The reversal of 248945400 is 4549842.

248945400 is a `hidden beast` number, since 24 + 8 + 94 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248945387) and next prime (248945413).

It is a tau number, because it is divible by the number of its divisors (360).

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

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 89 ways as a sum of consecutive naturals, for example, 1960137 + ... + 1960263.

Almost surely, 2^248945400 is an apocalyptic number.

248945400 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 248945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478927680).

248945400 is an abundant number, since it is smaller than the sum of its proper divisors (708909960).

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

248945400 is a wasteful number, since it uses less digits than its factorization.

248945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248945400 is about 15778.0036760041. The cubic root of 248945400 is about 629.0734679625.

The spelling of 248945400 in words is "two hundred forty-eight million, nine hundred forty-five thousand, four hundred".