749504160 has 216 divisors, whose sum is σ = 2718493596. Its totient is φ = 188006400.

The previous prime is 749504131. The next prime is 749504179. The reversal of 749504160 is 61405947.

749504160 is a `hidden beast` number, since 7 + 495 + 0 + 4 + 160 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 386830224 + 362673936 = 19668^2 + 19044^2 .

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 35 ways as a sum of consecutive naturals, for example, 415260 + ... + 417060.

Almost surely, 2^749504160 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 749504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359246798).

749504160 is an abundant number, since it is smaller than the sum of its proper divisors (1968989436).

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

749504160 is a wasteful number, since it uses less digits than its factorization.

749504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 749504160 is about 27377.0736200931. The cubic root of 749504160 is about 908.3600298151.

The spelling of 749504160 in words is "seven hundred forty-nine million, five hundred four thousand, one hundred sixty".