248963364 has 108 divisors (see below), whose sum is σ = 688501632. Its totient is φ = 75816000.

The previous prime is 248963359. The next prime is 248963369. The reversal of 248963364 is 463369842.

248963364 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 633 + 6 + 4 = 666.

248963364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248963359) and next prime (248963369).

It is a super-2 number, since 2×248963364² = 123965513228392992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248963369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 918549 + ... + 918819.

Almost surely, 2^248963364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248963364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344250816).

248963364 is an abundant number, since it is smaller than the sum of its proper divisors (439538268).

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

248963364 is a wasteful number, since it uses less digits than its factorization.

248963364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 248963364 is about 15778.5729392743. The cubic root of 248963364 is about 629.0885989965.

The spelling of 248963364 in words is "two hundred forty-eight million, nine hundred sixty-three thousand, three hundred sixty-four".