746242560 has 360 divisors, whose sum is σ = 3010946796. Its totient is φ = 170311680.

The previous prime is 746242559. The next prime is 746242577. The reversal of 746242560 is 65242647.

746242560 is a `hidden beast` number, since 7 + 4 + 624 + 25 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 5531904 = 27216^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1128630 + ... + 1129290.

Almost surely, 2^746242560 is an apocalyptic number.

746242560 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 746242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505473398).

746242560 is an abundant number, since it is smaller than the sum of its proper divisors (2264704236).

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

746242560 is a wasteful number, since it uses less digits than its factorization.

746242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 746242560 is about 27317.4405828950. The cubic root of 746242560 is about 907.0404840705.

The spelling of 746242560 in words is "seven hundred forty-six million, two hundred forty-two thousand, five hundred sixty".