749174400 has 768 divisors, whose sum is σ = 3187296000. Its totient is φ = 170311680.

The previous prime is 749174383. The next prime is 749174401. The reversal of 749174400 is 4471947.

749174400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×749174400² = 1122524563230720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749174401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25833586 + ... + 25833614.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2^749174400 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 749174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

749174400 is an abundant number, since it is smaller than the sum of its proper divisors (2438121600).

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

749174400 is a wasteful number, since it uses less digits than its factorization.

749174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 749174400 is about 27371.0504000121. The cubic root of 749174400 is about 908.2267929545.

The spelling of 749174400 in words is "seven hundred forty-nine million, one hundred seventy-four thousand, four hundred".