735468 has 24 divisors (see below), whose sum is σ = 1731072. Its totient is φ = 243024.

The previous prime is 735467. The next prime is 735473. The reversal of 735468 is 864537.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 735468.

It is not an unprimeable number, because it can be changed into a prime (735461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1821 + ... + 2187.

It is an arithmetic number, because the mean of its divisors is an integer number (72128).

2⁷³⁵⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

735468 is an abundant number, since it is smaller than the sum of its proper divisors (995604).

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

735468 is a wasteful number, since it uses less digits than its factorization.

735468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 735468 is about 857.5943096826. The cubic root of 735468 is about 90.2653894971.

The spelling of 735468 in words is "seven hundred thirty-five thousand, four hundred sixty-eight".