42570000 has 300 divisors, whose sum is σ = 166184304. Its totient is φ = 10080000.

The previous prime is 42569993. The next prime is 42570029. The reversal of 42570000 is 7524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989979 + ... + 990021.

Almost surely, 2^42570000 is an apocalyptic number.

42570000 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 42570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83092152).

42570000 is an abundant number, since it is smaller than the sum of its proper divisors (123614304).

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

42570000 is a wasteful number, since it uses less digits than its factorization.

42570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42570000 is about 6524.5689512795. The cubic root of 42570000 is about 349.1680922495.

Adding to 42570000 its reverse (7524), we get a palindrome (42577524).

The spelling of 42570000 in words is "forty-two million, five hundred seventy thousand".