368869248 has 256 divisors, whose sum is σ = 1229875200. Its totient is φ = 107827200.

The previous prime is 368869231. The next prime is 368869297. The reversal of 368869248 is 842968863.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 368869194 and 368869203.

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 31 ways as a sum of consecutive naturals, for example, 1178340 + ... + 1178652.

It is an arithmetic number, because the mean of its divisors is an integer number (4804200).

Almost surely, 2^368869248 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 368869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614937600).

368869248 is an abundant number, since it is smaller than the sum of its proper divisors (861005952).

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

368869248 is a wasteful number, since it uses less digits than its factorization.

368869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 368869248 is about 19205.9690721400. The cubic root of 368869248 is about 717.1733619068.

The spelling of 368869248 in words is "three hundred sixty-eight million, eight hundred sixty-nine thousand, two hundred forty-eight".