509425416 has 128 divisors (see below), whose sum is σ = 1505520000. Its totient is φ = 159148800.

The previous prime is 509425391. The next prime is 509425439. The reversal of 509425416 is 614524905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413890 + ... + 415118.

It is an arithmetic number, because the mean of its divisors is an integer number (11761875).

Almost surely, 2^509425416 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 509425416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752760000).

509425416 is an abundant number, since it is smaller than the sum of its proper divisors (996094584).

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

509425416 is a wasteful number, since it uses less digits than its factorization.

509425416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 509425416 is about 22570.4544925440. The cubic root of 509425416 is about 798.6568169195.

The spelling of 509425416 in words is "five hundred nine million, four hundred twenty-five thousand, four hundred sixteen".