510420120 has 128 divisors (see below), whose sum is σ = 1771338240. Its totient is φ = 115246080.

The previous prime is 510420107. The next prime is 510420133. The reversal of 510420120 is 21024015.

It is an interprime number because it is at equal distance from previous prime (510420107) and next prime (510420133).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 510420120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66060 + ... + 73380.

It is an arithmetic number, because the mean of its divisors is an integer number (13838580).

Almost surely, 2^510420120 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 510420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885669120).

510420120 is an abundant number, since it is smaller than the sum of its proper divisors (1260918120).

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

510420120 is a wasteful number, since it uses less digits than its factorization.

510420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7425 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 510420120 is about 22592.4792796187. The cubic root of 510420120 is about 799.1762980182.

Adding to 510420120 its reverse (21024015), we get a palindrome (531444135).

The spelling of 510420120 in words is "five hundred ten million, four hundred twenty thousand, one hundred twenty".