42461400 has 48 divisors (see below), whose sum is σ = 131632200. Its totient is φ = 11322880.

The previous prime is 42461387. The next prime is 42461417. The reversal of 42461400 is 416424.

42461400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 34785 + ... + 35984.

Almost surely, 2^42461400 is an apocalyptic number.

42461400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42461400 is an abundant number, since it is smaller than the sum of its proper divisors (89170800).

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

42461400 is a wasteful number, since it uses less digits than its factorization.

42461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70788 (or 70779 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42461400 is about 6516.2412478361. The cubic root of 42461400 is about 348.8709193883.

Adding to 42461400 its reverse (416424), we get a palindrome (42877824).

The spelling of 42461400 in words is "forty-two million, four hundred sixty-one thousand, four hundred".