735478656 has 128 divisors (see below), whose sum is σ = 2150323200. Its totient is φ = 222717440.

The previous prime is 735478649. The next prime is 735478663. The reversal of 735478656 is 656874537.

It is an interprime number because it is at equal distance from previous prime (735478649) and next prime (735478663).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 735478599 and 735478608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510385 + ... + 511823.

It is an arithmetic number, because the mean of its divisors is an integer number (16799400).

Almost surely, 2^735478656 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 735478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075161600).

735478656 is an abundant number, since it is smaller than the sum of its proper divisors (1414844544).

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

735478656 is a wasteful number, since it uses less digits than its factorization.

735478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1455 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The square root of 735478656 is about 27119.7097329599. The cubic root of 735478656 is about 902.6582543875.

The spelling of 735478656 in words is "seven hundred thirty-five million, four hundred seventy-eight thousand, six hundred fifty-six".