501645120 has 112 divisors (see below), whose sum is σ = 1602077568. Its totient is φ = 132986880.

The previous prime is 501645101. The next prime is 501645167. The reversal of 501645120 is 21546105.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172317 + ... + 175203.

It is an arithmetic number, because the mean of its divisors is an integer number (14304264).

Almost surely, 2^501645120 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 501645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801038784).

501645120 is an abundant number, since it is smaller than the sum of its proper divisors (1100432448).

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

501645120 is a wasteful number, since it uses less digits than its factorization.

501645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 501645120 is about 22397.4355674930. The cubic root of 501645120 is about 794.5700614263.

The spelling of 501645120 in words is "five hundred one million, six hundred forty-five thousand, one hundred twenty".