42938240 has 64 divisors (see below), whose sum is σ = 107148960. Its totient is φ = 16422912.

The previous prime is 42938239. The next prime is 42938249. The reversal of 42938240 is 4283924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42938197 and 42938206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42938249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13262 + ... + 16178.

Almost surely, 2^42938240 is an apocalyptic number.

42938240 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 42938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53574480).

42938240 is an abundant number, since it is smaller than the sum of its proper divisors (64210720).

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

42938240 is a wasteful number, since it uses less digits than its factorization.

42938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 42938240 is about 6552.7276763192. The cubic root of 42938240 is about 350.1719970959.

The spelling of 42938240 in words is "forty-two million, nine hundred thirty-eight thousand, two hundred forty".