354624 has 28 divisors (see below), whose sum is σ = 938784. Its totient is φ = 118144.

The previous prime is 354619. The next prime is 354643. The reversal of 354624 is 426453.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3⁸ + 5⁷ + 6⁵ + 4² + 2 + 4⁹ .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 354594 and 354603.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 732 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

2³⁵⁴⁶²⁴ is an apocalyptic number.

It is an amenable number.

354624 is an abundant number, since it is smaller than the sum of its proper divisors (584160).

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

354624 is a wasteful number, since it uses less digits than its factorization.

354624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 354624 is about 595.5031486063. The cubic root of 354624 is about 70.7819801566.

It can be divided in two parts, 3546 and 24, that added together give a triangular number (3570 = T₈₄).

The spelling of 354624 in words is "three hundred fifty-four thousand, six hundred twenty-four".