505309644 has 96 divisors (see below), whose sum is σ = 1515440640. Its totient is φ = 142617024.

The previous prime is 505309639. The next prime is 505309667. The reversal of 505309644 is 446903505.

It is a happy number.

505309644 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 0 + 9 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 505309599 and 505309608.

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, 58722 + ... + 66774.

It is an arithmetic number, because the mean of its divisors is an integer number (15785840).

Almost surely, 2^505309644 is an apocalyptic number.

505309644 is a gapful number since it is divisible by the number (54) 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 505309644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757720320).

505309644 is an abundant number, since it is smaller than the sum of its proper divisors (1010130996).

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

505309644 is a wasteful number, since it uses less digits than its factorization.

505309644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 505309644 is about 22479.0934870604. The cubic root of 505309644 is about 796.5001507300.

The spelling of 505309644 in words is "five hundred five million, three hundred nine thousand, six hundred forty-four".