245535440 has 80 divisors (see below), whose sum is σ = 582940368. Its totient is φ = 96165888.

The previous prime is 245535439. The next prime is 245535467. The reversal of 245535440 is 44535542.

It can be written as a sum of positive squares in 8 ways, for example, as 16679056 + 228856384 = 4084^2 + 15128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 245535397 and 245535406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1419194 + ... + 1419366.

Almost surely, 2^245535440 is an apocalyptic number.

245535440 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 245535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291470184).

245535440 is an abundant number, since it is smaller than the sum of its proper divisors (337404928).

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

245535440 is a wasteful number, since it uses less digits than its factorization.

245535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 245535440 is about 15669.5705110255. The cubic root of 245535440 is about 626.1879826183.

The spelling of 245535440 in words is "two hundred forty-five million, five hundred thirty-five thousand, four hundred forty".