510420400 has 120 divisors (see below), whose sum is σ = 1408041824. Its totient is φ = 174182400.

The previous prime is 510420373. The next prime is 510420433. The reversal of 510420400 is 4024015.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178584 + ... + 1179016.

Almost surely, 2^510420400 is an apocalyptic number.

510420400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704020912).

510420400 is an abundant number, since it is smaller than the sum of its proper divisors (897621424).

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

510420400 is a wasteful number, since it uses less digits than its factorization.

510420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 510420400 is about 22592.4854763702. The cubic root of 510420400 is about 799.1764441523.

Adding to 510420400 its reverse (4024015), we get a palindrome (514444415).

The spelling of 510420400 in words is "five hundred ten million, four hundred twenty thousand, four hundred".