735984480 has 192 divisors, whose sum is σ = 2890556928. Its totient is φ = 152924160.

The previous prime is 735984449. The next prime is 735984497. The reversal of 735984480 is 84489537.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27004 + ... + 46916.

It is an arithmetic number, because the mean of its divisors is an integer number (15054984).

Almost surely, 2^735984480 is an apocalyptic number.

735984480 is a gapful number since it is divisible by the number (70) 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 735984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445278464).

735984480 is an abundant number, since it is smaller than the sum of its proper divisors (2154572448).

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

735984480 is a wasteful number, since it uses less digits than its factorization.

735984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19949 (or 19941 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 735984480 is about 27129.0338935982. The cubic root of 735984480 is about 902.8651407796.

The spelling of 735984480 in words is "seven hundred thirty-five million, nine hundred eighty-four thousand, four hundred eighty".