42468300 has 270 divisors, whose sum is σ = 161638092. Its totient is φ = 9616320.

The previous prime is 42468247. The next prime is 42468301. The reversal of 42468300 is 386424.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42468301) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 396847 + ... + 396953.

Almost surely, 2^42468300 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 42468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80819046).

42468300 is an abundant number, since it is smaller than the sum of its proper divisors (119169792).

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

42468300 is a wasteful number, since it uses less digits than its factorization.

42468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42468300 is about 6516.7706726568. The cubic root of 42468300 is about 348.8898156012.

The spelling of 42468300 in words is "forty-two million, four hundred sixty-eight thousand, three hundred".