242515504 has 120 divisors (see below), whose sum is σ = 607367376. Its totient is φ = 92736000.

The previous prime is 242515499. The next prime is 242515541. The reversal of 242515504 is 405515242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525834 + ... + 526294.

Almost surely, 2^242515504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242515504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303683688).

242515504 is an abundant number, since it is smaller than the sum of its proper divisors (364851872).

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

242515504 is a wasteful number, since it uses less digits than its factorization.

242515504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 242515504 is about 15572.9092978801. The cubic root of 242515504 is about 623.6101416410.

The spelling of 242515504 in words is "two hundred forty-two million, five hundred fifteen thousand, five hundred four".