245832642 has 24 divisors (see below), whose sum is σ = 581059440. Its totient is φ = 74494680.

The previous prime is 245832617. The next prime is 245832647. The reversal of 245832642 is 246238542.

245832642 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 3 + 2 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 245832597 and 245832606.

It is not an unprimeable number, because it can be changed into a prime (245832647) 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, 620592 + ... + 620987.

It is an arithmetic number, because the mean of its divisors is an integer number (24210810).

Almost surely, 2^245832642 is an apocalyptic number.

245832642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

245832642 is an abundant number, since it is smaller than the sum of its proper divisors (335226798).

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

245832642 is a wasteful number, since it uses less digits than its factorization.

245832642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241598 (or 1241595 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 245832642 is about 15679.0510554689. The cubic root of 245832642 is about 626.4405317451.

It can be divided in two parts, 24583 and 2642, that added together give a square (27225 = 165²).

The spelling of 245832642 in words is "two hundred forty-five million, eight hundred thirty-two thousand, six hundred forty-two".