42456700 has 72 divisors (see below), whose sum is σ = 108274320. Its totient is φ = 14246400.

The previous prime is 42456679. The next prime is 42456731. The reversal of 42456700 is 765424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12816 + ... + 15784.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2^42456700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42456700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137160).

42456700 is an abundant number, since it is smaller than the sum of its proper divisors (65817620).

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

42456700 is a wasteful number, since it uses less digits than its factorization.

42456700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42456700 is about 6515.8806005021. The cubic root of 42456700 is about 348.8580468827.

The spelling of 42456700 in words is "forty-two million, four hundred fifty-six thousand, seven hundred".