501471432 has 192 divisors, whose sum is σ = 1750492800. Its totient is φ = 130204800.

The previous prime is 501471403. The next prime is 501471437. The reversal of 501471432 is 234174105.

It is a super-2 number, since 2×501471432² = 502947194224261248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 501471396 and 501471405.

It is not an unprimeable number, because it can be changed into a prime (501471437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181582 + ... + 184322.

It is an arithmetic number, because the mean of its divisors is an integer number (9117150).

Almost surely, 2^501471432 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 501471432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875246400).

501471432 is an abundant number, since it is smaller than the sum of its proper divisors (1249021368).

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

501471432 is a wasteful number, since it uses less digits than its factorization.

501471432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 501471432 is about 22393.5578236242. The cubic root of 501471432 is about 794.4783477094.

The spelling of 501471432 in words is "five hundred one million, four hundred seventy-one thousand, four hundred thirty-two".