745958400 has 264 divisors, whose sum is σ = 2692607424. Its totient is φ = 180633600.

The previous prime is 745958371. The next prime is 745958407. The reversal of 745958400 is 4859547.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (745958407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844359 + ... + 845241.

Almost surely, 2^745958400 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 745958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346303712).

745958400 is an abundant number, since it is smaller than the sum of its proper divisors (1946649024).

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

745958400 is a wasteful number, since it uses less digits than its factorization.

745958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 745958400 is about 27312.2390147714. The cubic root of 745958400 is about 906.9253394960.

The spelling of 745958400 in words is "seven hundred forty-five million, nine hundred fifty-eight thousand, four hundred".