42512600 has 96 divisors (see below), whose sum is σ = 108274320. Its totient is φ = 15429120.

The previous prime is 42512573. The next prime is 42512609. The reversal of 42512600 is 621524.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42512609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215702 + ... + 215898.

Almost surely, 2^42512600 is an apocalyptic number.

42512600 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 42512600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137160).

42512600 is an abundant number, since it is smaller than the sum of its proper divisors (65761720).

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

42512600 is a wasteful number, since it uses less digits than its factorization.

42512600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42512600 is about 6520.1687094737. The cubic root of 42512600 is about 349.0110860374.

The spelling of 42512600 in words is "forty-two million, five hundred twelve thousand, six hundred".