501364416 has 112 divisors (see below), whose sum is σ = 1548481536. Its totient is φ = 140181504.

The previous prime is 501364403. The next prime is 501364427. The reversal of 501364416 is 614463105.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59200 + ... + 67136.

It is an arithmetic number, because the mean of its divisors is an integer number (13825728).

Almost surely, 2^501364416 is an apocalyptic number.

501364416 is a gapful number since it is divisible by the number (56) 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 501364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774240768).

501364416 is an abundant number, since it is smaller than the sum of its proper divisors (1047117120).

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

501364416 is a wasteful number, since it uses less digits than its factorization.

501364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 501364416 is about 22391.1682589364. The cubic root of 501364416 is about 794.4218287413.

The spelling of 501364416 in words is "five hundred one million, three hundred sixty-four thousand, four hundred sixteen".