42704400 has 120 divisors (see below), whose sum is σ = 144073120. Its totient is φ = 10782720.

The previous prime is 42704383. The next prime is 42704423. The reversal of 42704400 is 440724.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21864 + ... + 23736.

Almost surely, 2^42704400 is an apocalyptic number.

42704400 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 42704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72036560).

42704400 is an abundant number, since it is smaller than the sum of its proper divisors (101368720).

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

42704400 is a wasteful number, since it uses less digits than its factorization.

42704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 42704400 is about 6534.8603657615. The cubic root of 42704400 is about 349.5351652395.

The spelling of 42704400 in words is "forty-two million, seven hundred four thousand, four hundred".