749954400 has 324 divisors, whose sum is σ = 2706225228. Its totient is φ = 180311040.

The previous prime is 749954363. The next prime is 749954407. The reversal of 749954400 is 4459947.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749954407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17440779 + ... + 17440821.

It is an arithmetic number, because the mean of its divisors is an integer number (8352547).

Almost surely, 2^749954400 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 749954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353112614).

749954400 is an abundant number, since it is smaller than the sum of its proper divisors (1956270828).

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

749954400 is a wasteful number, since it uses less digits than its factorization.

749954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 749954400 is about 27385.2953243159. The cubic root of 749954400 is about 908.5418825542.

The spelling of 749954400 in words is "seven hundred forty-nine million, nine hundred fifty-four thousand, four hundred".