42404100 has 72 divisors (see below), whose sum is σ = 123929568. Its totient is φ = 11193600.

The previous prime is 42404093. The next prime is 42404113. The reversal of 42404100 is 140424.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42404100.

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, 31440 + ... + 32760.

It is an arithmetic number, because the mean of its divisors is an integer number (1721244).

Almost surely, 2^42404100 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 42404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61964784).

42404100 is an abundant number, since it is smaller than the sum of its proper divisors (81525468).

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

42404100 is a wasteful number, since it uses less digits than its factorization.

42404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42404100 is about 6511.8430570769. The cubic root of 42404100 is about 348.7139195212.

Adding to 42404100 its reverse (140424), we get a palindrome (42544524).

The spelling of 42404100 in words is "forty-two million, four hundred four thousand, one hundred".