42174400 has 84 divisors (see below), whose sum is σ = 106361992. Its totient is φ = 16450560.

The previous prime is 42174397. The next prime is 42174401. The reversal of 42174400 is 447124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42174401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68494 + ... + 69106.

Almost surely, 2^42174400 is an apocalyptic number.

42174400 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 42174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53180996).

42174400 is an abundant number, since it is smaller than the sum of its proper divisors (64187592).

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

42174400 is a wasteful number, since it uses less digits than its factorization.

42174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 42174400 is about 6494.1820116162. The cubic root of 42174400 is about 348.0831263085.

The spelling of 42174400 in words is "forty-two million, one hundred seventy-four thousand, four hundred".