42654800 has 30 divisors (see below), whose sum is σ = 102479118. Its totient is φ = 17061760.

The previous prime is 42654797. The next prime is 42654809. The reversal of 42654800 is 845624.

It can be written as a sum of positive squares in 3 ways, for example, as 13017664 + 29637136 = 3608^2 + 5444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42654809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52919 + ... + 53718.

Almost surely, 2^42654800 is an apocalyptic number.

42654800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42654800 is an abundant number, since it is smaller than the sum of its proper divisors (59824318).

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

42654800 is a wasteful number, since it uses less digits than its factorization.

42654800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106655 (or 106644 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 42654800 is about 6531.0642318079. The cubic root of 42654800 is about 349.3997876152.

The spelling of 42654800 in words is "forty-two million, six hundred fifty-four thousand, eight hundred".