42558000 has 160 divisors (see below), whose sum is σ = 141365952. Its totient is φ = 11008000.

The previous prime is 42557923. The next prime is 42558007. The reversal of 42558000 is 85524.

It is a super-2 number, since 2×42558000² = 3622366728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42558007) 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, 245914 + ... + 246086.

Almost surely, 2^42558000 is an apocalyptic number.

42558000 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 42558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70682976).

42558000 is an abundant number, since it is smaller than the sum of its proper divisors (98807952).

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

42558000 is a wasteful number, since it uses less digits than its factorization.

42558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 42558000 is about 6523.6492854843. The cubic root of 42558000 is about 349.1352803251.

The spelling of 42558000 in words is "forty-two million, five hundred fifty-eight thousand".