42270480 has 120 divisors (see below), whose sum is σ = 162257472. Its totient is φ = 9660672.

The previous prime is 42270469. The next prime is 42270493. The reversal of 42270480 is 8407224.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847 + ... + 9233.

Almost surely, 2^42270480 is an apocalyptic number.

42270480 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 42270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81128736).

42270480 is an abundant number, since it is smaller than the sum of its proper divisors (119986992).

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

42270480 is a wasteful number, since it uses less digits than its factorization.

42270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42270480 is about 6501.5751937511. The cubic root of 42270480 is about 348.3472554333.

The spelling of 42270480 in words is "forty-two million, two hundred seventy thousand, four hundred eighty".