735033468 has 96 divisors (see below), whose sum is σ = 1981324800. Its totient is φ = 210173184.

The previous prime is 735033463. The next prime is 735033479. The reversal of 735033468 is 864330537.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735033461) 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 31 ways as a sum of consecutive naturals, for example, 154753 + ... + 159431.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^735033468 is an apocalyptic number.

735033468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735033468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

735033468 is an abundant number, since it is smaller than the sum of its proper divisors (1246291332).

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

735033468 is a wasteful number, since it uses less digits than its factorization.

735033468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 735033468 is about 27111.5006593143. The cubic root of 735033468 is about 902.4760901475.

The spelling of 735033468 in words is "seven hundred thirty-five million, thirty-three thousand, four hundred sixty-eight".