749364480 has 144 divisors (see below), whose sum is σ = 2659325760. Its totient is φ = 199821312.

The previous prime is 749364433. The next prime is 749364493. The reversal of 749364480 is 84463947.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23719 + ... + 45401.

It is an arithmetic number, because the mean of its divisors is an integer number (18467540).

Almost surely, 2^749364480 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 749364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329662880).

749364480 is an abundant number, since it is smaller than the sum of its proper divisors (1909961280).

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

749364480 is a wasteful number, since it uses less digits than its factorization.

749364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21713 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 749364480 is about 27374.5224615883. The cubic root of 749364480 is about 908.3035980128.

The spelling of 749364480 in words is "seven hundred forty-nine million, three hundred sixty-four thousand, four hundred eighty".