42400384 has 64 divisors (see below), whose sum is σ = 92363040. Its totient is φ = 19270656.

The previous prime is 42400373. The next prime is 42400399. The reversal of 42400384 is 48300424.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137959 + ... + 138265.

Almost surely, 2^42400384 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 42400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46181520).

42400384 is an abundant number, since it is smaller than the sum of its proper divisors (49962656).

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

42400384 is a wasteful number, since it uses less digits than its factorization.

42400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 42400384 is about 6511.5577245387. The cubic root of 42400384 is about 348.7037329372.

The spelling of 42400384 in words is "forty-two million, four hundred thousand, three hundred eighty-four".