42974400 has 168 divisors, whose sum is σ = 161259520. Its totient is φ = 9815040.

The previous prime is 42974363. The next prime is 42974413. The reversal of 42974400 is 447924.

42974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32961 + ... + 34239.

Almost surely, 2^42974400 is an apocalyptic number.

42974400 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 42974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80629760).

42974400 is an abundant number, since it is smaller than the sum of its proper divisors (118285120).

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

42974400 is a wasteful number, since it uses less digits than its factorization.

42974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42974400 is about 6555.4862519877. The cubic root of 42974400 is about 350.2702674382.

The spelling of 42974400 in words is "forty-two million, nine hundred seventy-four thousand, four hundred".