359464 has 32 divisors (see below), whose sum is σ = 792000. Its totient is φ = 152880.

The previous prime is 359449. The next prime is 359477. The reversal of 359464 is 464953.

It is a nialpdrome in base 14.

It is an unprimeable number.

359464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 2809.

It is an arithmetic number, because the mean of its divisors is an integer number (24750).

2³⁵⁹⁴⁶⁴ 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 359464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396000).

359464 is an abundant number, since it is smaller than the sum of its proper divisors (432536).

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

359464 is a wasteful number, since it uses less digits than its factorization.

359464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 359464 is about 599.5531669502. The cubic root of 359464 is about 71.1025430939.

The spelling of 359464 in words is "three hundred fifty-nine thousand, four hundred sixty-four".