242476416 has 320 divisors, whose sum is σ = 891586080. Its totient is φ = 63700992.

The previous prime is 242476397. The next prime is 242476427. The reversal of 242476416 is 614674242.

242476416 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 7 + 641 + 6 = 666.

242476416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943360 + ... + 943616.

Almost surely, 2^242476416 is an apocalyptic number.

242476416 is a gapful number since it is divisible by the number (26) 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 242476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445793040).

242476416 is an abundant number, since it is smaller than the sum of its proper divisors (649109664).

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

242476416 is a wasteful number, since it uses less digits than its factorization.

242476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 242476416 is about 15571.6542473817. The cubic root of 242476416 is about 623.5766359028.

The spelling of 242476416 in words is "two hundred forty-two million, four hundred seventy-six thousand, four hundred sixteen".