359382240 has 288 divisors, whose sum is σ = 1419477696. Its totient is φ = 81100800.

The previous prime is 359382217. The next prime is 359382251. The reversal of 359382240 is 42283953.

359382240 is a `hidden beast` number, since 3 + 593 + 8 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 359382195 and 359382204.

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, 1017904 + ... + 1018256.

It is an arithmetic number, because the mean of its divisors is an integer number (4928742).

Almost surely, 2^359382240 is an apocalyptic number.

359382240 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 359382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709738848).

359382240 is an abundant number, since it is smaller than the sum of its proper divisors (1060095456).

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

359382240 is a wasteful number, since it uses less digits than its factorization.

359382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 359382240 is about 18957.3795657522. The cubic root of 359382240 is about 710.9715193301.

The spelling of 359382240 in words is "three hundred fifty-nine million, three hundred eighty-two thousand, two hundred forty".