245967840 has 120 divisors (see below), whose sum is σ = 868107240. Its totient is φ = 65587968.

The previous prime is 245967833. The next prime is 245967853. The reversal of 245967840 is 48769542.

It is a happy number.

245967840 is digitally balanced in base 2, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3471 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (7234227).

Almost surely, 2^245967840 is an apocalyptic number.

245967840 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 245967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434053620).

245967840 is an abundant number, since it is smaller than the sum of its proper divisors (622139400).

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

245967840 is a wasteful number, since it uses less digits than its factorization.

245967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19006 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 245967840 is about 15683.3618844940. The cubic root of 245967840 is about 626.5553496758. Note that the first 3 decimals are identical.

The spelling of 245967840 in words is "two hundred forty-five million, nine hundred sixty-seven thousand, eight hundred forty".