745738240 has 104 divisors (see below), whose sum is σ = 1927899288. Its totient is φ = 275251200.

The previous prime is 745738211. The next prime is 745738241. The reversal of 745738240 is 42837547.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 732893184 = 3584^2 + 27072^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×745738240² = 1112251045196595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 745738193 and 745738202.

It is not an unprimeable number, because it can be changed into a prime (745738241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264840 + ... + 267640.

Almost surely, 2^745738240 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 745738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963949644).

745738240 is an abundant number, since it is smaller than the sum of its proper divisors (1182161048).

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

745738240 is a wasteful number, since it uses less digits than its factorization.

745738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 745738240 is about 27308.2082898165. The cubic root of 745738240 is about 906.8361082783.

The spelling of 745738240 in words is "seven hundred forty-five million, seven hundred thirty-eight thousand, two hundred forty".