749468160 has 320 divisors, whose sum is σ = 3044448000. Its totient is φ = 171196416.

The previous prime is 749468149. The next prime is 749468173. The reversal of 749468160 is 61864947.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483066 + ... + 484614.

It is an arithmetic number, because the mean of its divisors is an integer number (9513900).

Almost surely, 2^749468160 is an apocalyptic number.

749468160 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 749468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224000).

749468160 is an abundant number, since it is smaller than the sum of its proper divisors (2294979840).

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

749468160 is a wasteful number, since it uses less digits than its factorization.

749468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1566 counting only the distinct ones).

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

The square root of 749468160 is about 27376.4161277549. The cubic root of 749468160 is about 908.3454862069.

The spelling of 749468160 in words is "seven hundred forty-nine million, four hundred sixty-eight thousand, one hundred sixty".