501697872 has 120 divisors (see below), whose sum is σ = 1519006944. Its totient is φ = 153660672.

The previous prime is 501697849. The next prime is 501697877. The reversal of 501697872 is 278796105.

501697872 is a `hidden beast` number, since 501 + 6 + 9 + 78 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501697877) 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, 529303 + ... + 530249.

Almost surely, 2^501697872 is an apocalyptic number.

501697872 is a gapful number since it is divisible by the number (52) 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 501697872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759503472).

501697872 is an abundant number, since it is smaller than the sum of its proper divisors (1017309072).

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

501697872 is a wasteful number, since it uses less digits than its factorization.

501697872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 501697872 is about 22398.6131713551. The cubic root of 501697872 is about 794.5979122509.

The spelling of 501697872 in words is "five hundred one million, six hundred ninety-seven thousand, eight hundred seventy-two".