248912640 has 432 divisors, whose sum is σ = 964244736. Its totient is φ = 58982400.

The previous prime is 248912639. The next prime is 248912641. The reversal of 248912640 is 46219842.

248912640 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (248912639) and next prime (248912641).

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

It is a junction number, because it is equal to n+sod(n) for n = 248912595 and 248912604.

It is not an unprimeable number, because it can be changed into a prime (248912641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6071020 + ... + 6071060.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^248912640 is an apocalyptic number.

248912640 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 248912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

248912640 is an abundant number, since it is smaller than the sum of its proper divisors (715332096).

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

248912640 is a wasteful number, since it uses less digits than its factorization.

248912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248912640 is about 15776.9654876976. The cubic root of 248912640 is about 629.0458724190.

It can be divided in two parts, 2489 and 12640, that added together give a square (15129 = 123²).

The spelling of 248912640 in words is "two hundred forty-eight million, nine hundred twelve thousand, six hundred forty".