359997440 has 224 divisors, whose sum is σ = 1019153664. Its totient is φ = 120586240.

The previous prime is 359997433. The next prime is 359997467. The reversal of 359997440 is 44799953.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7659497 + ... + 7659543.

Almost surely, 2^359997440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509576832).

359997440 is an abundant number, since it is smaller than the sum of its proper divisors (659156224).

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

359997440 is a wasteful number, since it uses less digits than its factorization.

359997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The square root of 359997440 is about 18973.5984989669. The cubic root of 359997440 is about 711.3769746631.

It can be divided in two parts, 359 and 997440, that added together give a palindrome (997799).

The spelling of 359997440 in words is "three hundred fifty-nine million, nine hundred ninety-seven thousand, four hundred forty".