746479584 has 96 divisors (see below), whose sum is σ = 2194698240. Its totient is φ = 246830976.

The previous prime is 746479577. The next prime is 746479607. The reversal of 746479584 is 485974647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 746479584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106327 + ... + 113129.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^746479584 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 746479584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097349120).

746479584 is an abundant number, since it is smaller than the sum of its proper divisors (1448218656).

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

746479584 is a wasteful number, since it uses less digits than its factorization.

746479584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6935 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 746479584 is about 27321.7785658255. The cubic root of 746479584 is about 907.1365062922.

The spelling of 746479584 in words is "seven hundred forty-six million, four hundred seventy-nine thousand, five hundred eighty-four".