744960060 has 288 divisors, whose sum is σ = 2627456832. Its totient is φ = 169205760.

The previous prime is 744960059. The next prime is 744960061. The reversal of 744960060 is 60069447.

744960060 is a `hidden beast` number, since 7 + 4 + 49 + 600 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (744960059) and next prime (744960061).

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

It is a junction number, because it is equal to n+sod(n) for n = 744959997 and 744960024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744960061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2426427 + ... + 2426733.

It is an arithmetic number, because the mean of its divisors is an integer number (9123114).

Almost surely, 2^744960060 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 744960060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313728416).

744960060 is an abundant number, since it is smaller than the sum of its proper divisors (1882496772).

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

744960060 is a wasteful number, since it uses less digits than its factorization.

744960060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 744960060 is about 27293.9564739156. The cubic root of 744960060 is about 906.5205698013.

The spelling of 744960060 in words is "seven hundred forty-four million, nine hundred sixty thousand, sixty".