709974144 has 192 divisors, whose sum is σ = 2248365600. Its totient is φ = 213258240.

The previous prime is 709974127. The next prime is 709974157. The reversal of 709974144 is 441479907.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 709974144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2268132 + ... + 2268444.

Almost surely, 2^709974144 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 709974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124182800).

709974144 is an abundant number, since it is smaller than the sum of its proper divisors (1538391456).

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

709974144 is a wasteful number, since it uses less digits than its factorization.

709974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 709974144 is about 26645.3400053368. The cubic root of 709974144 is about 892.1013109942.

The spelling of 709974144 in words is "seven hundred nine million, nine hundred seventy-four thousand, one hundred forty-four".