42974560 has 48 divisors (see below), whose sum is σ = 104019552. Its totient is φ = 16768000.

The previous prime is 42974543. The next prime is 42974593. The reversal of 42974560 is 6547924.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3285 + ... + 9835.

It is an arithmetic number, because the mean of its divisors is an integer number (2167074).

Almost surely, 2^42974560 is an apocalyptic number.

42974560 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 42974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776).

42974560 is an abundant number, since it is smaller than the sum of its proper divisors (61044992).

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

42974560 is a wasteful number, since it uses less digits than its factorization.

42974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 42974560 is about 6555.4984554952. The cubic root of 42974560 is about 350.2707021402.

It can be divided in two parts, 42974 and 560, that added together give a palindrome (43534).

The spelling of 42974560 in words is "forty-two million, nine hundred seventy-four thousand, five hundred sixty".