501426000 has 240 divisors, whose sum is σ = 1776649680. Its totient is φ = 131788800.

The previous prime is 501425989. The next prime is 501426047. The reversal of 501426000 is 624105.

It is a happy number.

501426000 is a `hidden beast` number, since 50 + 14 + 2 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 407878416 + 93547584 = 20196^2 + 9672^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1601844 + ... + 1602156.

It is an arithmetic number, because the mean of its divisors is an integer number (7402707).

Almost surely, 2^501426000 is an apocalyptic number.

501426000 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 501426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888324840).

501426000 is an abundant number, since it is smaller than the sum of its proper divisors (1275223680).

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

501426000 is a wasteful number, since it uses less digits than its factorization.

501426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 501426000 is about 22392.5434017666. The cubic root of 501426000 is about 794.4543544314.

The spelling of 501426000 in words is "five hundred one million, four hundred twenty-six thousand".