501376640 has 128 divisors (see below), whose sum is σ = 1272568320. Its totient is φ = 188559360.

The previous prime is 501376627. The next prime is 501376643. The reversal of 501376640 is 46673105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 501376597 and 501376606.

It is not an unprimeable number, because it can be changed into a prime (501376643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733739 + ... + 734421.

It is an arithmetic number, because the mean of its divisors is an integer number (9941940).

Almost surely, 2^501376640 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 501376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636284160).

501376640 is an abundant number, since it is smaller than the sum of its proper divisors (771191680).

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

501376640 is a wasteful number, since it uses less digits than its factorization.

501376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 501376640 is about 22391.4412220384. The cubic root of 501376640 is about 794.4282850787.

The spelling of 501376640 in words is "five hundred one million, three hundred seventy-six thousand, six hundred forty".