248736312 has 192 divisors, whose sum is σ = 786508800. Its totient is φ = 72705600.

The previous prime is 248736307. The next prime is 248736317. The reversal of 248736312 is 213637842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248736307) and next prime (248736317).

It is a super-2 number, since 2×248736312² = 123739505814722688, which contains 22 as substring.

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 (248736317) 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, 810063 + ... + 810369.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2^248736312 is an apocalyptic number.

248736312 is a gapful number since it is divisible by the number (22) 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 248736312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393254400).

248736312 is an abundant number, since it is smaller than the sum of its proper divisors (537772488).

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

248736312 is a wasteful number, since it uses less digits than its factorization.

248736312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 248736312 is about 15771.3763508452. The cubic root of 248736312 is about 628.8973000762.

The spelling of 248736312 in words is "two hundred forty-eight million, seven hundred thirty-six thousand, three hundred twelve".