501913440 has 576 divisors, whose sum is σ = 2165304960. Its totient is φ = 103219200.

The previous prime is 501913439. The next prime is 501913441. The reversal of 501913440 is 44319105.

501913440 is a `hidden beast` number, since 501 + 91 + 34 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (501913439) and next prime (501913441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501913441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4969390 + ... + 4969490.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^501913440 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 501913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082652480).

501913440 is an abundant number, since it is smaller than the sum of its proper divisors (1663391520).

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

501913440 is a wasteful number, since it uses less digits than its factorization.

501913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 501913440 is about 22403.4247381957. The cubic root of 501913440 is about 794.7117027512.

The spelling of 501913440 in words is "five hundred one million, nine hundred thirteen thousand, four hundred forty".