248774760 has 384 divisors, whose sum is σ = 948672000. Its totient is φ = 57867264.

The previous prime is 248774749. The next prime is 248774761. The reversal of 248774760 is 67477842.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248774761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5293057 + ... + 5293103.

It is an arithmetic number, because the mean of its divisors is an integer number (2470500).

Almost surely, 2^248774760 is an apocalyptic number.

248774760 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 248774760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474336000).

248774760 is an abundant number, since it is smaller than the sum of its proper divisors (699897240).

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

248774760 is a wasteful number, since it uses less digits than its factorization.

248774760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 248774760 is about 15772.5952208253. The cubic root of 248774760 is about 628.9297019901.

The spelling of 248774760 in words is "two hundred forty-eight million, seven hundred seventy-four thousand, seven hundred sixty".