42458640 has 160 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 9580032.

The previous prime is 42458627. The next prime is 42458641. The reversal of 42458640 is 4685424.

It is a super-2 number, since 2×42458640² = 3605472221299200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42458641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213261 + ... + 213459.

It is an arithmetic number, because the mean of its divisors is an integer number (952320).

Almost surely, 2^42458640 is an apocalyptic number.

42458640 is a gapful number since it is divisible by the number (40) 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 42458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

42458640 is an abundant number, since it is smaller than the sum of its proper divisors (109912560).

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

42458640 is a wasteful number, since it uses less digits than its factorization.

42458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42458640 is about 6516.0294658634. The cubic root of 42458640 is about 348.8633603299.

The spelling of 42458640 in words is "forty-two million, four hundred fifty-eight thousand, six hundred forty".