745438400 has 336 divisors, whose sum is σ = 2297948160. Its totient is φ = 232243200.

The previous prime is 745438363. The next prime is 745438403. The reversal of 745438400 is 4834547.

745438400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (745438403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6596744 + ... + 6596856.

Almost surely, 2^745438400 is an apocalyptic number.

745438400 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 745438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148974080).

745438400 is an abundant number, since it is smaller than the sum of its proper divisors (1552509760).

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

745438400 is a wasteful number, since it uses less digits than its factorization.

745438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 745438400 is about 27302.7178134339. The cubic root of 745438400 is about 906.7145543718.

It can be divided in two parts, 7454 and 38400, that added together give a palindrome (45854).

The spelling of 745438400 in words is "seven hundred forty-five million, four hundred thirty-eight thousand, four hundred".