510472400 has 60 divisors (see below), whose sum is σ = 1246574604. Its totient is φ = 200832000.

The previous prime is 510472343. The next prime is 510472409. The reversal of 510472400 is 4274015.

It can be written as a sum of positive squares in 6 ways, for example, as 54051904 + 456420496 = 7352^2 + 21364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510472409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13940 + ... + 34860.

Almost surely, 2^510472400 is an apocalyptic number.

510472400 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 510472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623287302).

510472400 is an abundant number, since it is smaller than the sum of its proper divisors (736102204).

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

510472400 is a wasteful number, since it uses less digits than its factorization.

510472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21000 (or 20989 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 510472400 is about 22593.6362721896. The cubic root of 510472400 is about 799.2035824119.

The spelling of 510472400 in words is "five hundred ten million, four hundred seventy-two thousand, four hundred".