42504640 has 56 divisors (see below), whose sum is σ = 103601520. Its totient is φ = 16601088.

The previous prime is 42504593. The next prime is 42504677. The reversal of 42504640 is 4640524.

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, 12216 + ... + 15304.

Almost surely, 2^42504640 is an apocalyptic number.

42504640 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 42504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51800760).

42504640 is an abundant number, since it is smaller than the sum of its proper divisors (61096880).

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

42504640 is a wasteful number, since it uses less digits than its factorization.

42504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42504640 is about 6519.5582672448. The cubic root of 42504640 is about 348.9893018945.

The spelling of 42504640 in words is "forty-two million, five hundred four thousand, six hundred forty".