735423948 has 126 divisors (see below), whose sum is σ = 2245078836. Its totient is φ = 210080304.

The previous prime is 735423911. The next prime is 735423989. The reversal of 735423948 is 849324537.

735423948 is a `hidden beast` number, since 73 + 542 + 39 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 140311 + ... + 145457.

It is an arithmetic number, because the mean of its divisors is an integer number (17818086).

Almost surely, 2^735423948 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 735423948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122539418).

735423948 is an abundant number, since it is smaller than the sum of its proper divisors (1509654888).

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

735423948 is a wasteful number, since it uses less digits than its factorization.

735423948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5159 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 735423948 is about 27118.7010750884. The cubic root of 735423948 is about 902.6358726584.

The spelling of 735423948 in words is "seven hundred thirty-five million, four hundred twenty-three thousand, nine hundred forty-eight".