363204864 has 288 divisors, whose sum is σ = 1245041280. Its totient is φ = 103219200.

The previous prime is 363204859. The next prime is 363204869. The reversal of 363204864 is 468402363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (363204859) and next prime (363204869).

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 not an unprimeable number, because it can be changed into a prime (363204869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292404 + ... + 1292684.

It is an arithmetic number, because the mean of its divisors is an integer number (4323060).

Almost surely, 2^363204864 is an apocalyptic number.

363204864 is a gapful number since it is divisible by the number (34) 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 363204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622520640).

363204864 is an abundant number, since it is smaller than the sum of its proper divisors (881836416).

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

363204864 is a wasteful number, since it uses less digits than its factorization.

363204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 363204864 is about 19057.9344106333. The cubic root of 363204864 is about 713.4834198610.

The spelling of 363204864 in words is "three hundred sixty-three million, two hundred four thousand, eight hundred sixty-four".