359456 has 24 divisors (see below), whose sum is σ = 725760. Its totient is φ = 175168.

The previous prime is 359449. The next prime is 359477. The reversal of 359456 is 654953.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1385 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³⁵⁹⁴⁵⁶ 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 359456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

359456 is an abundant number, since it is smaller than the sum of its proper divisors (366304).

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

359456 is a wasteful number, since it uses less digits than its factorization.

359456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 359456 is about 599.5464952779. The cubic root of 359456 is about 71.1020156191.

The spelling of 359456 in words is "three hundred fifty-nine thousand, four hundred fifty-six".