745597440 has 640 divisors, whose sum is σ = 3205509120. Its totient is φ = 160579584.

The previous prime is 745597427. The next prime is 745597459. The reversal of 745597440 is 44795547.

745597440 is a `hidden beast` number, since 74 + 55 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11128287 + ... + 11128353.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2^745597440 is an apocalyptic number.

745597440 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 745597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602754560).

745597440 is an abundant number, since it is smaller than the sum of its proper divisors (2459911680).

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

745597440 is a wasteful number, since it uses less digits than its factorization.

745597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 745597440 is about 27305.6301886626. The cubic root of 745597440 is about 906.7790325941.

The spelling of 745597440 in words is "seven hundred forty-five million, five hundred ninety-seven thousand, four hundred forty".