42684480 has 84 divisors (see below), whose sum is σ = 146826732. Its totient is φ = 11381760.

The previous prime is 42684479. The next prime is 42684497. The reversal of 42684480 is 8448624.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 25644096 = 4128^2 + 5064^2 .

It is a super-3 number, since 3×42684480³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4531 + ... + 10290.

Almost surely, 2^42684480 is an apocalyptic number.

42684480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42684480 is an abundant number, since it is smaller than the sum of its proper divisors (104142252).

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

42684480 is a wasteful number, since it uses less digits than its factorization.

42684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42684480 is about 6533.3360544212. The cubic root of 42684480 is about 349.4808084410.

The spelling of 42684480 in words is "forty-two million, six hundred eighty-four thousand, four hundred eighty".