735540468 has 48 divisors (see below), whose sum is σ = 1850854656. Its totient is φ = 226005120.

The previous prime is 735540457. The next prime is 735540469. The reversal of 735540468 is 864045537.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735540469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125205 + ... + 130947.

It is an arithmetic number, because the mean of its divisors is an integer number (38559472).

Almost surely, 2^735540468 is an apocalyptic number.

735540468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

735540468 is an abundant number, since it is smaller than the sum of its proper divisors (1115314188).

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

735540468 is a wasteful number, since it uses less digits than its factorization.

735540468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 735540468 is about 27120.8493229840. The cubic root of 735540468 is about 902.6835411168.

The spelling of 735540468 in words is "seven hundred thirty-five million, five hundred forty thousand, four hundred sixty-eight".