746679456 has 72 divisors (see below), whose sum is σ = 2159408160. Its totient is φ = 244669056.

The previous prime is 746679449. The next prime is 746679463. The reversal of 746679456 is 654976647.

It is an interprime number because it is at equal distance from previous prime (746679449) and next prime (746679463).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4980 + ... + 38963.

It is an arithmetic number, because the mean of its divisors is an integer number (29991780).

Almost surely, 2^746679456 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 746679456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079704080).

746679456 is an abundant number, since it is smaller than the sum of its proper divisors (1412728704).

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

746679456 is a wasteful number, since it uses less digits than its factorization.

746679456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44018 (or 44007 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 746679456 is about 27325.4360623943. The cubic root of 746679456 is about 907.2174618477.

The spelling of 746679456 in words is "seven hundred forty-six million, six hundred seventy-nine thousand, four hundred fifty-six".