746519040 has 120 divisors (see below), whose sum is σ = 2585485188. Its totient is φ = 199065600.

The previous prime is 746519017. The next prime is 746519069. The reversal of 746519040 is 40915647.

746519040 is a `hidden beast` number, since 7 + 465 + 190 + 4 + 0 = 666.

746519040 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 2 ways, for example, as 674337024 + 72182016 = 25968^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 746518986 and 746519004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6840 + ... + 39240.

Almost surely, 2^746519040 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 746519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292742594).

746519040 is an abundant number, since it is smaller than the sum of its proper divisors (1838966148).

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

746519040 is a wasteful number, since it uses less digits than its factorization.

746519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32430 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 746519040 is about 27322.5006176228. The cubic root of 746519040 is about 907.1524885768.

The spelling of 746519040 in words is "seven hundred forty-six million, five hundred nineteen thousand, forty".