363225240 has 288 divisors, whose sum is σ = 1400490000. Its totient is φ = 81381888.

The previous prime is 363225229. The next prime is 363225241. The reversal of 363225240 is 42522363.

363225240 is a `hidden beast` number, since 3 + 632 + 2 + 5 + 24 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363225241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1040586 + ... + 1040934.

Almost surely, 2^363225240 is an apocalyptic number.

363225240 is a gapful number since it is divisible by the number (30) 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 363225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700245000).

363225240 is an abundant number, since it is smaller than the sum of its proper divisors (1037264760).

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

363225240 is a wasteful number, since it uses less digits than its factorization.

363225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 363225240 is about 19058.4689836303. The cubic root of 363225240 is about 713.4967618871.

The spelling of 363225240 in words is "three hundred sixty-three million, two hundred twenty-five thousand, two hundred forty".