516214272 has 160 divisors (see below), whose sum is σ = 1611396864. Its totient is φ = 143769600.

The previous prime is 516214261. The next prime is 516214289. The reversal of 516214272 is 272412615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440247 + ... + 441417.

Almost surely, 2^516214272 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 516214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805698432).

516214272 is an abundant number, since it is smaller than the sum of its proper divisors (1095182592).

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

516214272 is a wasteful number, since it uses less digits than its factorization.

516214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1224 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 516214272 is about 22720.3492930897. The cubic root of 516214272 is about 802.1889385557.

Adding to 516214272 its reverse (272412615), we get a palindrome (788626887).

The spelling of 516214272 in words is "five hundred sixteen million, two hundred fourteen thousand, two hundred seventy-two".