245345408 has 192 divisors, whose sum is σ = 642485760. Its totient is φ = 91238400.

The previous prime is 245345407. The next prime is 245345417. The reversal of 245345408 is 804543542.

245345408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (245345407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360860 + ... + 3360932.

It is an arithmetic number, because the mean of its divisors is an integer number (3346280).

Almost surely, 2^245345408 is an apocalyptic number.

245345408 is a gapful number since it is divisible by the number (28) 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 245345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321242880).

245345408 is an abundant number, since it is smaller than the sum of its proper divisors (397140352).

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

245345408 is a wasteful number, since it uses less digits than its factorization.

245345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The square root of 245345408 is about 15663.5056101755. The cubic root of 245345408 is about 626.0263949919.

The spelling of 245345408 in words is "two hundred forty-five million, three hundred forty-five thousand, four hundred eight".