748633600 has 240 divisors, whose sum is σ = 2184391440. Its totient is φ = 250675200.

The previous prime is 748633583. The next prime is 748633603. The reversal of 748633600 is 6336847.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 748633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748633603) 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, 1830196 + ... + 1830604.

It is an arithmetic number, because the mean of its divisors is an integer number (9101631).

Almost surely, 2^748633600 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 748633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092195720).

748633600 is an abundant number, since it is smaller than the sum of its proper divisors (1435757840).

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

748633600 is a wasteful number, since it uses less digits than its factorization.

748633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 748633600 is about 27361.1695656454. The cubic root of 748633600 is about 908.0082024268.

The spelling of 748633600 in words is "seven hundred forty-eight million, six hundred thirty-three thousand, six hundred".