363846456 has 96 divisors (see below), whose sum is σ = 1029100800. Its totient is φ = 116017920.

The previous prime is 363846449. The next prime is 363846463. The reversal of 363846456 is 654648363.

363846456 is a `hidden beast` number, since 3 + 638 + 4 + 6 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (363846449) and next prime (363846463).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161385 + ... + 163623.

It is an arithmetic number, because the mean of its divisors is an integer number (10719800).

Almost surely, 2^363846456 is an apocalyptic number.

363846456 is a gapful number since it is divisible by the number (36) 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 363846456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514550400).

363846456 is an abundant number, since it is smaller than the sum of its proper divisors (665254344).

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

363846456 is a wasteful number, since it uses less digits than its factorization.

363846456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2342 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 363846456 is about 19074.7596577257. The cubic root of 363846456 is about 713.9032893987.

The spelling of 363846456 in words is "three hundred sixty-three million, eight hundred forty-six thousand, four hundred fifty-six".