42076400 has 60 divisors (see below), whose sum is σ = 103857192. Its totient is φ = 16369920.

The previous prime is 42076387. The next prime is 42076417. The reversal of 42076400 is 467024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13379 + ... + 16221.

Almost surely, 2^42076400 is an apocalyptic number.

42076400 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 42076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51928596).

42076400 is an abundant number, since it is smaller than the sum of its proper divisors (61780792).

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

42076400 is a wasteful number, since it uses less digits than its factorization.

42076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 42076400 is about 6486.6324082686. The cubic root of 42076400 is about 347.8133054180.

The spelling of 42076400 in words is "forty-two million, seventy-six thousand, four hundred".