363045240 has 160 divisors (see below), whose sum is σ = 1234926000. Its totient is φ = 95648256.

The previous prime is 363045209. The next prime is 363045269. The reversal of 363045240 is 42540363.

363045240 is a `hidden beast` number, since 3 + 630 + 4 + 5 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287731 + ... + 288989.

Almost surely, 2^363045240 is an apocalyptic number.

363045240 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 363045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617463000).

363045240 is an abundant number, since it is smaller than the sum of its proper divisors (871880760).

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

363045240 is a wasteful number, since it uses less digits than its factorization.

363045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1358 counting only the distinct ones).

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

The square root of 363045240 is about 19053.7460883680. The cubic root of 363045240 is about 713.3788821955.

The spelling of 363045240 in words is "three hundred sixty-three million, forty-five thousand, two hundred forty".