501506964 has 180 divisors, whose sum is σ = 1575826560. Its totient is φ = 138529440.

The previous prime is 501506963. The next prime is 501506989. The reversal of 501506964 is 469605105.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501506963) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 491647 + ... + 492665.

It is an arithmetic number, because the mean of its divisors is an integer number (8754592).

Almost surely, 2^501506964 is an apocalyptic number.

501506964 is a gapful number since it is divisible by the number (54) 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 501506964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787913280).

501506964 is an abundant number, since it is smaller than the sum of its proper divisors (1074319596).

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

501506964 is a wasteful number, since it uses less digits than its factorization.

501506964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

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

The square root of 501506964 is about 22394.3511627374. The cubic root of 501506964 is about 794.4971116483.

The spelling of 501506964 in words is "five hundred one million, five hundred six thousand, nine hundred sixty-four".