242462000 has 160 divisors (see below), whose sum is σ = 651815424. Its totient is φ = 86496000.

The previous prime is 242461991. The next prime is 242462023. The reversal of 242462000 is 264242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265947 + ... + 2266053.

Almost surely, 2^242462000 is an apocalyptic number.

242462000 is a gapful number since it is divisible by the number (20) 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 242462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325907712).

242462000 is an abundant number, since it is smaller than the sum of its proper divisors (409353424).

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

242462000 is a wasteful number, since it uses less digits than its factorization.

242462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242462000 is about 15571.1913481275. The cubic root of 242462000 is about 623.5642777815.

The spelling of 242462000 in words is "two hundred forty-two million, four hundred sixty-two thousand".