501742080 has 640 divisors, whose sum is σ = 2192002560. Its totient is φ = 106168320.

The previous prime is 501742057. The next prime is 501742081. The reversal of 501742080 is 80247105.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×501742080³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501742081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8225250 + ... + 8225310.

It is an arithmetic number, because the mean of its divisors is an integer number (3425004).

Almost surely, 2^501742080 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 501742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096001280).

501742080 is an abundant number, since it is smaller than the sum of its proper divisors (1690260480).

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

501742080 is a wasteful number, since it uses less digits than its factorization.

501742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 501742080 is about 22399.5999964285. The cubic root of 501742080 is about 794.6212507014.

Adding to 501742080 its reverse (80247105), we get a palindrome (581989185).

The spelling of 501742080 in words is "five hundred one million, seven hundred forty-two thousand, eighty".