42806400 has 384 divisors, whose sum is σ = 177072000. Its totient is φ = 9031680.

The previous prime is 42806399. The next prime is 42806417. The reversal of 42806400 is 460824.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3292794 + ... + 3292806.

It is an arithmetic number, because the mean of its divisors is an integer number (461125).

Almost surely, 2^42806400 is an apocalyptic number.

42806400 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 42806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536000).

42806400 is an abundant number, since it is smaller than the sum of its proper divisors (134265600).

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

42806400 is a wasteful number, since it uses less digits than its factorization.

42806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42806400 is about 6542.6600095068. The cubic root of 42806400 is about 349.8132336892.

The spelling of 42806400 in words is "forty-two million, eight hundred six thousand, four hundred".