505321416 has 96 divisors (see below), whose sum is σ = 1494074400. Its totient is φ = 159563520.

The previous prime is 505321387. The next prime is 505321417. The reversal of 505321416 is 614123505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 505321416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505321417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30096 + ... + 43776.

It is an arithmetic number, because the mean of its divisors is an integer number (15563275).

Almost surely, 2^505321416 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 505321416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747037200).

505321416 is an abundant number, since it is smaller than the sum of its proper divisors (988752984).

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

505321416 is a wasteful number, since it uses less digits than its factorization.

505321416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13705 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 505321416 is about 22479.3553288345. The cubic root of 505321416 is about 796.5063359322.

The spelling of 505321416 in words is "five hundred five million, three hundred twenty-one thousand, four hundred sixteen".