514303020 has 720 divisors, whose sum is σ = 2224696320. Its totient is φ = 97977600.

The previous prime is 514303007. The next prime is 514303063. The reversal of 514303020 is 20303415.

It is a super-2 number, since 2×514303020² = 529015192762240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 514302984 and 514303002.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16590405 + ... + 16590435.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2^514303020 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 514303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112348160).

514303020 is an abundant number, since it is smaller than the sum of its proper divisors (1710393300).

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

514303020 is a wasteful number, since it uses less digits than its factorization.

514303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 514303020 is about 22678.2499324794. The cubic root of 514303020 is about 801.1976955951.

Adding to 514303020 its reverse (20303415), we get a palindrome (534606435).

The spelling of 514303020 in words is "five hundred fourteen million, three hundred three thousand, twenty".