363390048 has 288 divisors, whose sum is σ = 1273708800. Its totient is φ = 95966208.

The previous prime is 363390047. The next prime is 363390059. The reversal of 363390048 is 840093363.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 363389994 and 363390021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363390047) 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, 2030023 + ... + 2030201.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^363390048 is an apocalyptic number.

363390048 is a gapful number since it is divisible by the number (38) 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 363390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

363390048 is an abundant number, since it is smaller than the sum of its proper divisors (910318752).

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

363390048 is a wasteful number, since it uses less digits than its factorization.

363390048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 363390048 is about 19062.7922403828. The cubic root of 363390048 is about 713.6046583849.

The spelling of 363390048 in words is "three hundred sixty-three million, three hundred ninety thousand, forty-eight".