501054000 has 240 divisors, whose sum is σ = 1687454496. Its totient is φ = 127872000.

The previous prime is 501053999. The next prime is 501054007. The reversal of 501054000 is 450105.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×501054000² = 502110221832000000, 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 (501054007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8213970 + ... + 8214030.

Almost surely, 2^501054000 is an apocalyptic number.

501054000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843727248).

501054000 is an abundant number, since it is smaller than the sum of its proper divisors (1186400496).

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

501054000 is a wasteful number, since it uses less digits than its factorization.

501054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 501054000 is about 22384.2355241362. The cubic root of 501054000 is about 794.2578414633.

The spelling of 501054000 in words is "five hundred one million, fifty-four thousand".