360503040 has 144 divisors (see below), whose sum is σ = 1158948000. Its totient is φ = 95502336.

The previous prime is 360502993. The next prime is 360503047. The reversal of 360503040 is 40305063.

It is a junction number, because it is equal to n+sod(n) for n = 360502998 and 360503016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360503047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032786 + ... + 1033134.

It is an arithmetic number, because the mean of its divisors is an integer number (8048250).

Almost surely, 2^360503040 is an apocalyptic number.

360503040 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 360503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579474000).

360503040 is an abundant number, since it is smaller than the sum of its proper divisors (798444960).

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

360503040 is a wasteful number, since it uses less digits than its factorization.

360503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 360503040 is about 18986.9176013380. The cubic root of 360503040 is about 711.7098510567.

The spelling of 360503040 in words is "three hundred sixty million, five hundred three thousand, forty".