504112416 has 48 divisors (see below), whose sum is σ = 1328630688. Its totient is φ = 167360000.

The previous prime is 504112409. The next prime is 504112429. The reversal of 504112416 is 614211405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13636 + ... + 34556.

It is an arithmetic number, because the mean of its divisors is an integer number (27679806).

Almost surely, 2^504112416 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 504112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664315344).

504112416 is an abundant number, since it is smaller than the sum of its proper divisors (824518272).

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

504112416 is a wasteful number, since it uses less digits than its factorization.

504112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21185 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 504112416 is about 22452.4478843622. The cubic root of 504112416 is about 795.8706051298.

The spelling of 504112416 in words is "five hundred four million, one hundred twelve thousand, four hundred sixteen".