245376640 has 128 divisors (see below), whose sum is σ = 654350400. Its totient is φ = 87441408.

The previous prime is 245376631. The next prime is 245376641. The reversal of 245376640 is 46673542.

245376640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 245376640.

It is not an unprimeable number, because it can be changed into a prime (245376641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206127 + ... + 207313.

Almost surely, 2^245376640 is an apocalyptic number.

245376640 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 245376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327175200).

245376640 is an abundant number, since it is smaller than the sum of its proper divisors (408973760).

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

245376640 is a wasteful number, since it uses less digits than its factorization.

245376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 245376640 is about 15664.5025455646. The cubic root of 245376640 is about 626.0529578514.

It can be divided in two parts, 245376 and 640, that added together give a square (246016 = 496²).

The spelling of 245376640 in words is "two hundred forty-five million, three hundred seventy-six thousand, six hundred forty".