359920 has 40 divisors (see below), whose sum is σ = 915120. Its totient is φ = 130560.

The previous prime is 359911. The next prime is 359929. The reversal of 359920 is 29953.

359920 = 88² + 89² + ... + 120².

It is an interprime number because it is at equal distance from previous prime (359911) and next prime (359929).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676 + ... + 1084.

It is an arithmetic number, because the mean of its divisors is an integer number (22878).

2³⁵⁹⁹²⁰ 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 359920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457560).

359920 is an abundant number, since it is smaller than the sum of its proper divisors (555200).

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

359920 is a wasteful number, since it uses less digits than its factorization.

359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 359920 is about 599.9333296292. The cubic root of 359920 is about 71.1325962279.

The spelling of 359920 in words is "three hundred fifty-nine thousand, nine hundred twenty".