359480 has 64 divisors (see below), whose sum is σ = 950400. Its totient is φ = 120960.

The previous prime is 359479. The next prime is 359483. The reversal of 359480 is 84953.

359480 = T₄₅ + T₄₆ + ... + T₁₃₀.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359480.

It is not an unprimeable number, because it can be changed into a prime (359483) 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, 8339 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2³⁵⁹⁴⁸⁰ 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 359480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

359480 is an abundant number, since it is smaller than the sum of its proper divisors (590920).

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

359480 is a wasteful number, since it uses less digits than its factorization.

359480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 359480 is about 599.5665100721. The cubic root of 359480 is about 71.1035980199.

The spelling of 359480 in words is "three hundred fifty-nine thousand, four hundred eighty".