359952140 has 48 divisors (see below), whose sum is σ = 785148672. Its totient is φ = 138511296.

The previous prime is 359952113. The next prime is 359952149. The reversal of 359952140 is 41259953.

It is a junction number, because it is equal to n+sod(n) for n = 359952094 and 359952103.

It is not an unprimeable number, because it can be changed into a prime (359952149) 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, 54497 + ... + 60743.

It is an arithmetic number, because the mean of its divisors is an integer number (16357264).

Almost surely, 2^359952140 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 359952140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392574336).

359952140 is an abundant number, since it is smaller than the sum of its proper divisors (425196532).

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

359952140 is a wasteful number, since it uses less digits than its factorization.

359952140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 359952140 is about 18972.4046973493. The cubic root of 359952140 is about 711.3471348873.

The spelling of 359952140 in words is "three hundred fifty-nine million, nine hundred fifty-two thousand, one hundred forty".