42510456 has 48 divisors (see below), whose sum is σ = 116064000. Its totient is φ = 14055552.

The previous prime is 42510449. The next prime is 42510493. The reversal of 42510456 is 65401524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6820 + ... + 11468.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^42510456 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 42510456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

42510456 is an abundant number, since it is smaller than the sum of its proper divisors (73553544).

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

42510456 is a wasteful number, since it uses less digits than its factorization.

42510456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42510456 is about 6520.0042944771. The cubic root of 42510456 is about 349.0052188173.

The spelling of 42510456 in words is "forty-two million, five hundred ten thousand, four hundred fifty-six".