245438784 has 84 divisors (see below), whose sum is σ = 705670420. Its totient is φ = 81561600.

The previous prime is 245438783. The next prime is 245438881. The reversal of 245438784 is 487834542.

It is a happy number.

245438784 is a `hidden beast` number, since 24 + 543 + 8 + 7 + 84 = 666.

245438784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 127238400 = 10872^2 + 11280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245438783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345822 + ... + 346530.

Almost surely, 2^245438784 is an apocalyptic number.

245438784 is a gapful number since it is divisible by the number (24) 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 245438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352835210).

245438784 is an abundant number, since it is smaller than the sum of its proper divisors (460231636).

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

245438784 is a wasteful number, since it uses less digits than its factorization.

245438784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 245438784 is about 15666.4860131428. The cubic root of 245438784 is about 626.1058047063.

The spelling of 245438784 in words is "two hundred forty-five million, four hundred thirty-eight thousand, seven hundred eighty-four".