354464 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 149760.

The previous prime is 354463. The next prime is 354469. The reversal of 354464 is 464453.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 354464.

It is not an unprimeable number, because it can be changed into a prime (354461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6662 + ... + 6714.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³⁵⁴⁴⁶⁴ 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 354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

354464 is an abundant number, since it is smaller than the sum of its proper divisors (462016).

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

354464 is a wasteful number, since it uses less digits than its factorization.

354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 354464 is about 595.3687932702. The cubic root of 354464 is about 70.7713333678.

It can be divided in two parts, 354 and 464, that added together give a palindrome (818).

The spelling of 354464 in words is "three hundred fifty-four thousand, four hundred sixty-four".