746228736 has 264 divisors, whose sum is σ = 2494621584. Its totient is φ = 212336640.

The previous prime is 746228731. The next prime is 746228771. The reversal of 746228736 is 637822647.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 746228691 and 746228700.

It is not an unprimeable number, because it can be changed into a prime (746228731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1723176 + ... + 1723608.

Almost surely, 2^746228736 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 746228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247310792).

746228736 is an abundant number, since it is smaller than the sum of its proper divisors (1748392848).

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

746228736 is a wasteful number, since it uses less digits than its factorization.

746228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 746228736 is about 27317.1875565549. The cubic root of 746228736 is about 907.0348831190.

The spelling of 746228736 in words is "seven hundred forty-six million, two hundred twenty-eight thousand, seven hundred thirty-six".