242177472 has 112 divisors (see below), whose sum is σ = 715975200. Its totient is φ = 80271360.

The previous prime is 242177459. The next prime is 242177479. The reversal of 242177472 is 274771242.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242177479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464572 + ... + 465092.

Almost surely, 2^242177472 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 242177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357987600).

242177472 is an abundant number, since it is smaller than the sum of its proper divisors (473797728).

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

242177472 is a wasteful number, since it uses less digits than its factorization.

242177472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 242177472 is about 15562.0523068135. The cubic root of 242177472 is about 623.3202657394.

The spelling of 242177472 in words is "two hundred forty-two million, one hundred seventy-seven thousand, four hundred seventy-two".