42454080 has 84 divisors (see below), whose sum is σ = 146034252. Its totient is φ = 11320320.

The previous prime is 42454073. The next prime is 42454121. The reversal of 42454080 is 8045424.

42454080 is a `hidden beast` number, since 42 + 4 + 540 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 11451456 = 5568^2 + 3384^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4491 + ... + 10250.

It is an arithmetic number, because the mean of its divisors is an integer number (1738503).

Almost surely, 2^42454080 is an apocalyptic number.

42454080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42454080 is an abundant number, since it is smaller than the sum of its proper divisors (103580172).

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

42454080 is a wasteful number, since it uses less digits than its factorization.

42454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42454080 is about 6515.6795501314. The cubic root of 42454080 is about 348.8508707332.

The spelling of 42454080 in words is "forty-two million, four hundred fifty-four thousand, eighty".