501457632 has 48 divisors (see below), whose sum is σ = 1417585680. Its totient is φ = 154294272.

The previous prime is 501457609. The next prime is 501457657. The reversal of 501457632 is 236754105.

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

It is a junction number, because it is equal to n+sod(n) for n = 501457593 and 501457602.

It is a congruent number.

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, 199657 + ... + 202152.

It is an arithmetic number, because the mean of its divisors is an integer number (29533035).

Almost surely, 2^501457632 is an apocalyptic number.

501457632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

501457632 is an abundant number, since it is smaller than the sum of its proper divisors (916128048).

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

501457632 is a wasteful number, since it uses less digits than its factorization.

501457632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401835 (or 401827 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 501457632 is about 22393.2496971744. The cubic root of 501457632 is about 794.4710598886.

The spelling of 501457632 in words is "five hundred one million, four hundred fifty-seven thousand, six hundred thirty-two".