509970400 has 36 divisors (see below), whose sum is σ = 1244967192. Its totient is φ = 203987840.

The previous prime is 509970397. The next prime is 509970401. The reversal of 509970400 is 4079905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509970401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 317932 + ... + 319531.

It is an arithmetic number, because the mean of its divisors is an integer number (34582422).

Almost surely, 2^509970400 is an apocalyptic number.

509970400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509970400 is an abundant number, since it is smaller than the sum of its proper divisors (734996792).

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

509970400 is a wasteful number, since it uses less digits than its factorization.

509970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637483 (or 637470 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 509970400 is about 22582.5242167478. The cubic root of 509970400 is about 798.9415168010.

The spelling of 509970400 in words is "five hundred nine million, nine hundred seventy thousand, four hundred".