360509040 has 240 divisors, whose sum is σ = 1295467680. Its totient is φ = 89828352.

The previous prime is 360509029. The next prime is 360509053. The reversal of 360509040 is 40905063.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 360508995 and 360509013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4938444 + ... + 4938516.

It is an arithmetic number, because the mean of its divisors is an integer number (5397782).

Almost surely, 2^360509040 is an apocalyptic number.

360509040 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 360509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647733840).

360509040 is an abundant number, since it is smaller than the sum of its proper divisors (934958640).

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

360509040 is a wasteful number, since it uses less digits than its factorization.

360509040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 360509040 is about 18987.0756042104. The cubic root of 360509040 is about 711.7137994611.

The spelling of 360509040 in words is "three hundred sixty million, five hundred nine thousand, forty".