245416600 has 96 divisors (see below), whose sum is σ = 670425840. Its totient is φ = 82368000.

The previous prime is 245416571. The next prime is 245416621. The reversal of 245416600 is 6614542.

245416600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24310 + ... + 32890.

Almost surely, 2^245416600 is an apocalyptic number.

245416600 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 245416600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335212920).

245416600 is an abundant number, since it is smaller than the sum of its proper divisors (425009240).

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

245416600 is a wasteful number, since it uses less digits than its factorization.

245416600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8621 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 245416600 is about 15665.7779889797. Note that the first 3 decimals coincide. The cubic root of 245416600 is about 626.0869406004.

It can be divided in two parts, 245416 and 600, that added together give a square (246016 = 496²).

The spelling of 245416600 in words is "two hundred forty-five million, four hundred sixteen thousand, six hundred".