42405480 has 288 divisors, whose sum is σ = 161867160. Its totient is φ = 9584640.

The previous prime is 42405479. The next prime is 42405499. The reversal of 42405480 is 8450424.

It can be written as a sum of positive squares in 12 ways, for example, as 1726596 + 40678884 = 1314^2 + 6378^2 .

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 an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1034260 + ... + 1034300.

Almost surely, 2^42405480 is an apocalyptic number.

42405480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80933580).

42405480 is an abundant number, since it is smaller than the sum of its proper divisors (119461680).

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

42405480 is a wasteful number, since it uses less digits than its factorization.

42405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

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

The square root of 42405480 is about 6511.9490169994. The cubic root of 42405480 is about 348.7177023314.

The spelling of 42405480 in words is "forty-two million, four hundred five thousand, four hundred eighty".