510393420 has 96 divisors (see below), whose sum is σ = 1626690240. Its totient is φ = 132779520.

The previous prime is 510393413. The next prime is 510393421. The reversal of 510393420 is 24393015.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (510393421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10614 + ... + 33666.

It is an arithmetic number, because the mean of its divisors is an integer number (16944690).

Almost surely, 2^510393420 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 510393420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813345120).

510393420 is an abundant number, since it is smaller than the sum of its proper divisors (1116296820).

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

510393420 is a wasteful number, since it uses less digits than its factorization.

510393420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23112 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 510393420 is about 22591.8883672879. Note that the first 3 decimals coincide. The cubic root of 510393420 is about 799.1623628444.

The spelling of 510393420 in words is "five hundred ten million, three hundred ninety-three thousand, four hundred twenty".