42417240 has 64 divisors (see below), whose sum is σ = 128217600. Its totient is φ = 11225472.

The previous prime is 42417229. The next prime is 42417251. The reversal of 42417240 is 4271424.

It is an interprime number because it is at equal distance from previous prime (42417229) and next prime (42417251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42417240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15409 + ... + 17951.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 2^42417240 is an apocalyptic number.

42417240 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 42417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64108800).

42417240 is an abundant number, since it is smaller than the sum of its proper divisors (85800360).

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

42417240 is a wasteful number, since it uses less digits than its factorization.

42417240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42417240 is about 6512.8519098779. The cubic root of 42417240 is about 348.7499351242.

Adding to 42417240 its reverse (4271424), we get a palindrome (46688664).

The spelling of 42417240 in words is "forty-two million, four hundred seventeen thousand, two hundred forty".