42974960 has 120 divisors (see below), whose sum is σ = 122559120. Its totient is φ = 13934592.

The previous prime is 42974957. The next prime is 42974983. The reversal of 42974960 is 6947924.

It is a congruent number.

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, 74192 + ... + 74768.

It is an arithmetic number, because the mean of its divisors is an integer number (1021326).

Almost surely, 2^42974960 is an apocalyptic number.

42974960 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 42974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61279560).

42974960 is an abundant number, since it is smaller than the sum of its proper divisors (79584160).

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

42974960 is a wasteful number, since it uses less digits than its factorization.

42974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 42974960 is about 6555.5289641645. The cubic root of 42974960 is about 350.2717888905.

It can be divided in two parts, 42974 and 960, that added together give a palindrome (43934).

The spelling of 42974960 in words is "forty-two million, nine hundred seventy-four thousand, nine hundred sixty".