749448000 has 336 divisors, whose sum is σ = 3065946624. Its totient is φ = 171187200.

The previous prime is 749447927. The next prime is 749448019. The reversal of 749448000 is 844947.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503257 + ... + 504743.

Almost surely, 2^749448000 is an apocalyptic number.

749448000 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 749448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532973312).

749448000 is an abundant number, since it is smaller than the sum of its proper divisors (2316498624).

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

749448000 is a wasteful number, since it uses less digits than its factorization.

749448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 749448000 is about 27376.0479251480. The cubic root of 749448000 is about 908.3373415828.

It can be divided in two parts, 74944 and 8000, that added together give a square (82944 = 288²).

The spelling of 749448000 in words is "seven hundred forty-nine million, four hundred forty-eight thousand".