505609440 has 384 divisors, whose sum is σ = 1930521600. Its totient is φ = 111089664.

The previous prime is 505609439. The next prime is 505609459. The reversal of 505609440 is 44906505.

It is a super-2 number, since 2×505609440² = 511281811634227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6091639 + ... + 6091721.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^505609440 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 505609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

505609440 is an abundant number, since it is smaller than the sum of its proper divisors (1424912160).

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

505609440 is a wasteful number, since it uses less digits than its factorization.

505609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 505609440 is about 22485.7608276883. The cubic root of 505609440 is about 796.6576385556.

The spelling of 505609440 in words is "five hundred five million, six hundred nine thousand, four hundred forty".