363226240 has 128 divisors (see below), whose sum is σ = 944622000. Its totient is φ = 132759552.

The previous prime is 363226217. The next prime is 363226277. The reversal of 363226240 is 42622363.

It can be written as a sum of positive squares in 8 ways, for example, as 107993664 + 255232576 = 10392^2 + 15976^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 363226199 and 363226208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239534 + ... + 1239826.

Almost surely, 2^363226240 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 363226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472311000).

363226240 is an abundant number, since it is smaller than the sum of its proper divisors (581395760).

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

363226240 is a wasteful number, since it uses less digits than its factorization.

363226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 363226240 is about 19058.4952186682. The cubic root of 363226240 is about 713.4974166655.

The spelling of 363226240 in words is "three hundred sixty-three million, two hundred twenty-six thousand, two hundred forty".