242763507 has 32 divisors (see below), whose sum is σ = 419788800. Its totient is φ = 135765504.

The previous prime is 242763497. The next prime is 242763517. The reversal of 242763507 is 705367242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242763497) and next prime (242763517).

It is not a de Polignac number, because 242763507 - 2⁴ = 242763491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242763517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4782 + ... + 22547.

It is an arithmetic number, because the mean of its divisors is an integer number (13118400).

Almost surely, 2^242763507 is an apocalyptic number.

242763507 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

242763507 is a deficient number, since it is larger than the sum of its proper divisors (177025293).

242763507 is a wasteful number, since it uses less digits than its factorization.

242763507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27392 (or 27386 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 242763507 is about 15580.8699051112. The cubic root of 242763507 is about 623.8226428275.

The spelling of 242763507 in words is "two hundred forty-two million, seven hundred sixty-three thousand, five hundred seven".