501946560 has 168 divisors, whose sum is σ = 1817552880. Its totient is φ = 126793728.

The previous prime is 501946493. The next prime is 501946589. The reversal of 501946560 is 65649105.

501946560 is a `hidden beast` number, since 5 + 0 + 1 + 94 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50134 + ... + 59306.

Almost surely, 2^501946560 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 501946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908776440).

501946560 is an abundant number, since it is smaller than the sum of its proper divisors (1315606320).

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

501946560 is a wasteful number, since it uses less digits than its factorization.

501946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 501946560 is about 22404.1638987042. The cubic root of 501946560 is about 794.7291827059.

The spelling of 501946560 in words is "five hundred one million, nine hundred forty-six thousand, five hundred sixty".