514534020 has 288 divisors, whose sum is σ = 1947939840. Its totient is φ = 98542080.

The previous prime is 514533983. The next prime is 514534039. The reversal of 514534020 is 20435415.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780451 + ... + 781109.

It is an arithmetic number, because the mean of its divisors is an integer number (6763680).

Almost surely, 2^514534020 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 514534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973969920).

514534020 is an abundant number, since it is smaller than the sum of its proper divisors (1433405820).

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

514534020 is a wasteful number, since it uses less digits than its factorization.

514534020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 514534020 is about 22683.3423463122. The cubic root of 514534020 is about 801.3176307035.

Adding to 514534020 its reverse (20435415), we get a palindrome (534969435).

It can be divided in two parts, 5145 and 34020, that multiplied together give a square (175032900 = 13230²).

The spelling of 514534020 in words is "five hundred fourteen million, five hundred thirty-four thousand, twenty".