242496480 has 48 divisors (see below), whose sum is σ = 763865424. Its totient is φ = 64665600.

The previous prime is 242496473. The next prime is 242496493. The reversal of 242496480 is 84694242.

242496480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252121 + ... + 253080.

It is an arithmetic number, because the mean of its divisors is an integer number (15913863).

Almost surely, 2^242496480 is an apocalyptic number.

242496480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242496480 is an abundant number, since it is smaller than the sum of its proper divisors (521368944).

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

242496480 is a wasteful number, since it uses less digits than its factorization.

242496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505219 (or 505211 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 242496480 is about 15572.2984815987. The cubic root of 242496480 is about 623.5938349591.

The spelling of 242496480 in words is "two hundred forty-two million, four hundred ninety-six thousand, four hundred eighty".