501258240 has 576 divisors, whose sum is σ = 2128744800. Its totient is φ = 111476736.

The previous prime is 501258229. The next prime is 501258257. The reversal of 501258240 is 42852105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547502 + ... + 13547538.

Almost surely, 2^501258240 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 501258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064372400).

501258240 is an abundant number, since it is smaller than the sum of its proper divisors (1627486560).

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

501258240 is a wasteful number, since it uses less digits than its factorization.

501258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 501258240 is about 22388.7971985991. The cubic root of 501258240 is about 794.3657454585.

The spelling of 501258240 in words is "five hundred one million, two hundred fifty-eight thousand, two hundred forty".