506940000 has 480 divisors, whose sum is σ = 2040546816. Its totient is φ = 107520000.

The previous prime is 506939989. The next prime is 506940041. The reversal of 506940000 is 49605.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139965 + ... + 7140035.

Almost surely, 2^506940000 is an apocalyptic number.

506940000 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 506940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020273408).

506940000 is an abundant number, since it is smaller than the sum of its proper divisors (1533606816).

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

506940000 is a wasteful number, since it uses less digits than its factorization.

506940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 506940000 is about 22515.3281121995. The cubic root of 506940000 is about 797.3558535739.

Adding to 506940000 its reverse (49605), we get a palindrome (506989605).

It can be divided in two parts, 506 and 940000, that added together give a triangular number (940506 = T₁₃₇₁).

The spelling of 506940000 in words is "five hundred six million, nine hundred forty thousand".