359045640 has 192 divisors, whose sum is σ = 1232375040. Its totient is φ = 90478080.

The previous prime is 359045639. The next prime is 359045653. The reversal of 359045640 is 46540953.

It is a happy number.

359045640 is a `hidden beast` number, since 3 + 5 + 9 + 0 + 4 + 5 + 640 = 666.

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 = 359045595 and 359045604.

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, 852630 + ... + 853050.

It is an arithmetic number, because the mean of its divisors is an integer number (6418620).

Almost surely, 2^359045640 is an apocalyptic number.

359045640 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 359045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616187520).

359045640 is an abundant number, since it is smaller than the sum of its proper divisors (873329400).

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

359045640 is a wasteful number, since it uses less digits than its factorization.

359045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 359045640 is about 18948.4996767554. The cubic root of 359045640 is about 710.7494829765.

The spelling of 359045640 in words is "three hundred fifty-nine million, forty-five thousand, six hundred forty".