246042000 has 120 divisors (see below), whose sum is σ = 859405560. Its totient is φ = 65606400.

The previous prime is 246041993. The next prime is 246042007. The reversal of 246042000 is 240642.

246042000 is a `hidden beast` number, since 2 + 460 + 4 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (246041993) and next prime (246042007).

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 244484496 = 1248^2 + 15636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (246042007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11166 + ... + 24834.

It is an arithmetic number, because the mean of its divisors is an integer number (7161713).

Almost surely, 2^246042000 is an apocalyptic number.

246042000 is a gapful number since it is divisible by the number (20) 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 246042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429702780).

246042000 is an abundant number, since it is smaller than the sum of its proper divisors (613363560).

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

246042000 is a wasteful number, since it uses less digits than its factorization.

246042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13698 (or 13679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 246042000 is about 15685.7259953118. The cubic root of 246042000 is about 626.6183127522.

Adding to 246042000 its reverse (240642), we get a palindrome (246282642).

The spelling of 246042000 in words is "two hundred forty-six million, forty-two thousand".