42735420 has 144 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 9013248.

The previous prime is 42735419. The next prime is 42735439. The reversal of 42735420 is 2453724.

It is a super-2 number, since 2×42735420² = 3652632245152800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15076 + ... + 17684.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 2^42735420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42735420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

42735420 is an abundant number, since it is smaller than the sum of its proper divisors (116871300).

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

42735420 is a wasteful number, since it uses less digits than its factorization.

42735420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42735420 is about 6537.2333597631. The cubic root of 42735420 is about 349.6197775712.

The spelling of 42735420 in words is "forty-two million, seven hundred thirty-five thousand, four hundred twenty".