501253440 has 112 divisors (see below), whose sum is σ = 1675302720. Its totient is φ = 126627840.

The previous prime is 501253411. The next prime is 501253469. The reversal of 501253440 is 44352105.

It is an interprime number because it is at equal distance from previous prime (501253411) and next prime (501253469).

It is a super-2 number, since 2×501253440² = 502510022223667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 501253440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500 + ... + 31980.

It is an arithmetic number, because the mean of its divisors is an integer number (14958060).

Almost surely, 2^501253440 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 501253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837651360).

501253440 is an abundant number, since it is smaller than the sum of its proper divisors (1174049280).

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

501253440 is a wasteful number, since it uses less digits than its factorization.

501253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27520 (or 27510 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 501253440 is about 22388.6900018737. The cubic root of 501253440 is about 794.3632098607.

The spelling of 501253440 in words is "five hundred one million, two hundred fifty-three thousand, four hundred forty".