245760000 has 180 divisors, whose sum is σ = 818934732. Its totient is φ = 65536000.

The previous prime is 245759999. The next prime is 245760001. The reversal of 245760000 is 67542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245759999) and next prime (245760001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 800 × 480 × 640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49151998 + ... + 49152002.

Almost surely, 2^245760000 is an apocalyptic number.

245760000 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 245760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409467366).

245760000 is an abundant number, since it is smaller than the sum of its proper divisors (573174732).

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

245760000 is an frugal number, since it uses more digits than its factorization.

245760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 245760000 is about 15676.7343538123. The cubic root of 245760000 is about 626.3788225870.

Multiplying 245760000 by its sum of digits (24), we get a square (5898240000 = 76800²).

245760000 divided by its sum of digits (24) gives a square (10240000 = 3200²).

The spelling of 245760000 in words is "two hundred forty-five million, seven hundred sixty thousand".