340464 has 40 divisors (see below), whose sum is σ = 906192. Its totient is φ = 110080.

The previous prime is 340453. The next prime is 340477. The reversal of 340464 is 464043.

340464 = T₄₇ + T₄₈ + ... + T₁₂₈.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 340464.

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 340464.

It is an unprimeable number.

340464 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, 1882 + ... + 2054.

2³⁴⁰⁴⁶⁴ 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 340464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453096).

340464 is an abundant number, since it is smaller than the sum of its proper divisors (565728).

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

340464 is a wasteful number, since it uses less digits than its factorization.

340464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 340464 is about 583.4929305484. The cubic root of 340464 is about 69.8270560650.

The spelling of 340464 in words is "three hundred forty thousand, four hundred sixty-four".