245746000 has 160 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 89510400.

The previous prime is 245745967. The next prime is 245746027. The reversal of 245746000 is 647542.

It is a self number, because there is not a number n which added to its sum of digits gives 245746000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1101889 + ... + 1102111.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^245746000 is an apocalyptic number.

245746000 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 245746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

245746000 is an abundant number, since it is smaller than the sum of its proper divisors (404212400).

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

245746000 is a wasteful number, since it uses less digits than its factorization.

245746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 245746000 is about 15676.2878258853. The cubic root of 245746000 is about 626.3669282320.

The spelling of 245746000 in words is "two hundred forty-five million, seven hundred forty-six thousand".