514079712 has 72 divisors (see below), whose sum is σ = 1465138584. Its totient is φ = 170982144.

The previous prime is 514079659. The next prime is 514079719. The reversal of 514079712 is 217970415.

It is a happy number.

514079712 is a `hidden beast` number, since 514 + 0 + 79 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514079719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148918 + ... + 152330.

It is an arithmetic number, because the mean of its divisors is an integer number (20349147).

Almost surely, 2^514079712 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 514079712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732569292).

514079712 is an abundant number, since it is smaller than the sum of its proper divisors (951058872).

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

514079712 is a wasteful number, since it uses less digits than its factorization.

514079712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 514079712 is about 22673.3260021550. The cubic root of 514079712 is about 801.0817200263.

The spelling of 514079712 in words is "five hundred fourteen million, seventy-nine thousand, seven hundred twelve".