42934400 has 48 divisors (see below), whose sum is σ = 106069290. Its totient is φ = 17172480.

The previous prime is 42934387. The next prime is 42934427. The reversal of 42934400 is 443924.

It can be written as a sum of positive squares in 3 ways, for example, as 29333056 + 13601344 = 5416^2 + 3688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42934400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3509 + ... + 9908.

Almost surely, 2^42934400 is an apocalyptic number.

42934400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42934400 is an abundant number, since it is smaller than the sum of its proper divisors (63134890).

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

42934400 is a wasteful number, since it uses less digits than its factorization.

42934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 42934400 is about 6552.4346620169. The cubic root of 42934400 is about 350.1615580673.

It can be divided in two parts, 42934 and 400, that added together give a palindrome (43334).

The spelling of 42934400 in words is "forty-two million, nine hundred thirty-four thousand, four hundred".