42901600 has 144 divisors (see below), whose sum is σ = 122992128. Its totient is φ = 14307840.

The previous prime is 42901597. The next prime is 42901609. The reversal of 42901600 is 610924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42901609) 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, 263119 + ... + 263281.

It is an arithmetic number, because the mean of its divisors is an integer number (854112).

Almost surely, 2^42901600 is an apocalyptic number.

42901600 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 42901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61496064).

42901600 is an abundant number, since it is smaller than the sum of its proper divisors (80090528).

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

42901600 is a wasteful number, since it uses less digits than its factorization.

42901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 42901600 is about 6549.9312973496. The cubic root of 42901600 is about 350.0723659890.

The spelling of 42901600 in words is "forty-two million, nine hundred one thousand, six hundred".