748994400 has 648 divisors, whose sum is σ = 3369018744. Its totient is φ = 154828800.

The previous prime is 748994399. The next prime is 748994401. The reversal of 748994400 is 4499847.

748994400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (748994399) and next prime (748994401).

It is a super-2 number, since 2×748994400² = 1121985222462720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748994401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880704 + ... + 3880896.

It is an arithmetic number, because the mean of its divisors is an integer number (5199103).

Almost surely, 2^748994400 is an apocalyptic number.

748994400 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 748994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684509372).

748994400 is an abundant number, since it is smaller than the sum of its proper divisors (2620024344).

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

748994400 is a wasteful number, since it uses less digits than its factorization.

748994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 748994400 is about 27367.7620568434. The cubic root of 748994400 is about 908.1540489146.

The spelling of 748994400 in words is "seven hundred forty-eight million, nine hundred ninety-four thousand, four hundred".