42505400 has 96 divisors (see below), whose sum is σ = 114471840. Its totient is φ = 14376960.

The previous prime is 42505381. The next prime is 42505427. The reversal of 42505400 is 450524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 135644 + ... + 135956.

It is an arithmetic number, because the mean of its divisors is an integer number (1192415).

Almost surely, 2^42505400 is an apocalyptic number.

42505400 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 42505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57235920).

42505400 is an abundant number, since it is smaller than the sum of its proper divisors (71966440).

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

42505400 is a wasteful number, since it uses less digits than its factorization.

42505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 42505400 is about 6519.6165531418. The cubic root of 42505400 is about 348.9913819050.

Adding to 42505400 its reverse (450524), we get a palindrome (42955924).

The spelling of 42505400 in words is "forty-two million, five hundred five thousand, four hundred".