242763264 has 160 divisors (see below), whose sum is σ = 761603040. Its totient is φ = 76087296.

The previous prime is 242763259. The next prime is 242763317. The reversal of 242763264 is 462367242.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 234492 + ... + 235524.

It is an arithmetic number, because the mean of its divisors is an integer number (4760019).

Almost surely, 2^242763264 is an apocalyptic number.

242763264 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 242763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380801520).

242763264 is an abundant number, since it is smaller than the sum of its proper divisors (518839776).

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

242763264 is a wasteful number, since it uses less digits than its factorization.

242763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1055 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 242763264 is about 15580.8621070851. The cubic root of 242763264 is about 623.8224346839.

The spelling of 242763264 in words is "two hundred forty-two million, seven hundred sixty-three thousand, two hundred sixty-four".