746217040 has 80 divisors (see below), whose sum is σ = 1843931088. Its totient is φ = 279871488.

The previous prime is 746217013. The next prime is 746217053. The reversal of 746217040 is 40712647.

746217040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 226924096 + 519292944 = 15064^2 + 22788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 746216993 and 746217011.

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, 424804 + ... + 426556.

Almost surely, 2^746217040 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 746217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921965544).

746217040 is an abundant number, since it is smaller than the sum of its proper divisors (1097714048).

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

746217040 is a wasteful number, since it uses less digits than its factorization.

746217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 746217040 is about 27316.9734780411. The cubic root of 746217040 is about 907.0301442970.

Adding to 746217040 its reverse (40712647), we get a palindrome (786929687).

The spelling of 746217040 in words is "seven hundred forty-six million, two hundred seventeen thousand, forty".