363540240 has 240 divisors, whose sum is σ = 1477726848. Its totient is φ = 78188544.

The previous prime is 363540209. The next prime is 363540293. The reversal of 363540240 is 42045363.

363540240 is a `hidden beast` number, since 3 + 635 + 4 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83559 + ... + 87801.

Almost surely, 2^363540240 is an apocalyptic number.

363540240 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 363540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738863424).

363540240 is an abundant number, since it is smaller than the sum of its proper divisors (1114186608).

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

363540240 is a wasteful number, since it uses less digits than its factorization.

363540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4277 counting only the distinct ones).

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

The square root of 363540240 is about 19066.7312353219. The cubic root of 363540240 is about 713.7029576724.

The spelling of 363540240 in words is "three hundred sixty-three million, five hundred forty thousand, two hundred forty".