42468900 has 72 divisors (see below), whose sum is σ = 125241984. Its totient is φ = 11107200.

The previous prime is 42468893. The next prime is 42468911. The reversal of 42468900 is 986424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14565 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (1739472).

Almost surely, 2^42468900 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 42468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62620992).

42468900 is an abundant number, since it is smaller than the sum of its proper divisors (82773084).

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

42468900 is a wasteful number, since it uses less digits than its factorization.

42468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42468900 is about 6516.8167075651. The cubic root of 42468900 is about 348.8914586534.

The spelling of 42468900 in words is "forty-two million, four hundred sixty-eight thousand, nine hundred".