245380800 has 336 divisors, whose sum is σ = 942360320. Its totient is φ = 54743040.

The previous prime is 245380789. The next prime is 245380879. The reversal of 245380800 is 8083542.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251146 + ... + 2251254.

Almost surely, 2^245380800 is an apocalyptic number.

245380800 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 245380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471180160).

245380800 is an abundant number, since it is smaller than the sum of its proper divisors (696979520).

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

245380800 is a wasteful number, since it uses less digits than its factorization.

245380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 245380800 is about 15664.6353293015. The cubic root of 245380800 is about 626.0564957671.

The spelling of 245380800 in words is "two hundred forty-five million, three hundred eighty thousand, eight hundred".