501023040 has 168 divisors, whose sum is σ = 1850635872. Its totient is φ = 114508800.

The previous prime is 501023011. The next prime is 501023041. The reversal of 501023040 is 40320105.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×501023040² = 502048173221683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501023041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41715 + ... + 52365.

Almost surely, 2^501023040 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 501023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925317936).

501023040 is an abundant number, since it is smaller than the sum of its proper divisors (1349612832).

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

501023040 is a wasteful number, since it uses less digits than its factorization.

501023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 501023040 is about 22383.5439553258. The cubic root of 501023040 is about 794.2414821292.

Adding to 501023040 its reverse (40320105), we get a palindrome (541343145).

The spelling of 501023040 in words is "five hundred one million, twenty-three thousand, forty".