245964000 has 192 divisors, whose sum is σ = 817689600. Its totient is φ = 64627200.

The previous prime is 245963989. The next prime is 245964023. The reversal of 245964000 is 469542.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1235901 + ... + 1236099.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2^245964000 is an apocalyptic number.

245964000 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 245964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

245964000 is an abundant number, since it is smaller than the sum of its proper divisors (571725600).

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

245964000 is a wasteful number, since it uses less digits than its factorization.

245964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 245964000 is about 15683.2394612848. The cubic root of 245964000 is about 626.5520891071.

The spelling of 245964000 in words is "two hundred forty-five million, nine hundred sixty-four thousand".