509954048 has 36 divisors (see below), whose sum is σ = 1021706595. Its totient is φ = 254466048.

The previous prime is 509954041. The next prime is 509954077. The reversal of 509954048 is 840459905.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 254977024 + 254977024 = 15968^2 + 15968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15968.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509954041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1021703 + ... + 1022201.

Almost surely, 2^509954048 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 509954048

509954048 is an abundant number, since it is smaller than the sum of its proper divisors (511752547).

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

509954048 is an frugal number, since it uses more digits than its factorization.

509954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 509954048 is about 22582.1621639736. The cubic root of 509954048 is about 798.9329774614.

Multiplying 509954048 by its product of nonzero digits (259200), we get a square (132180089241600 = 11496960²).

The spelling of 509954048 in words is "five hundred nine million, nine hundred fifty-four thousand, forty-eight".