363668448 has 192 divisors, whose sum is σ = 1143072000. Its totient is φ = 99778560.

The previous prime is 363668419. The next prime is 363668477. The reversal of 363668448 is 844866363.

It is an interprime number because it is at equal distance from previous prime (363668419) and next prime (363668477).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 = 363668397 and 363668406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809728 + ... + 810176.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^363668448 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 363668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536000).

363668448 is an abundant number, since it is smaller than the sum of its proper divisors (779403552).

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

363668448 is a wasteful number, since it uses less digits than its factorization.

363668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 363668448 is about 19070.0930254679. The cubic root of 363668448 is about 713.7868472159.

The spelling of 363668448 in words is "three hundred sixty-three million, six hundred sixty-eight thousand, four hundred forty-eight".