749304864 has 288 divisors, whose sum is σ = 2775124800. Its totient is φ = 194503680.

The previous prime is 749304863. The next prime is 749304877. The reversal of 749304864 is 468403947.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×749304864² = 1122915558428116992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749304863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464892 + ... + 466500.

It is an arithmetic number, because the mean of its divisors is an integer number (9635850).

Almost surely, 2^749304864 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 749304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387562400).

749304864 is an abundant number, since it is smaller than the sum of its proper divisors (2025819936).

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

749304864 is a wasteful number, since it uses less digits than its factorization.

749304864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1632 counting only the distinct ones).

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

The square root of 749304864 is about 27373.4335442231. The cubic root of 749304864 is about 908.2795105517.

The spelling of 749304864 in words is "seven hundred forty-nine million, three hundred four thousand, eight hundred sixty-four".