501999120 has 720 divisors, whose sum is σ = 2222857728. Its totient is φ = 104509440.

The previous prime is 501999109. The next prime is 501999131. The reversal of 501999120 is 21999105.

It is an interprime number because it is at equal distance from previous prime (501999109) and next prime (501999131).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16193505 + ... + 16193535.

Almost surely, 2^501999120 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 501999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111428864).

501999120 is an abundant number, since it is smaller than the sum of its proper divisors (1720858608).

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

501999120 is a wasteful number, since it uses less digits than its factorization.

501999120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 501999120 is about 22405.3368642384. The cubic root of 501999120 is about 794.7569210559.

It can be divided in two parts, 50199 and 9120, that added together give a cube (59319 = 39³).

The spelling of 501999120 in words is "five hundred one million, nine hundred ninety-nine thousand, one hundred twenty".