42614480 has 40 divisors (see below), whose sum is σ = 100449672. Its totient is φ = 16809984.

The previous prime is 42614471. The next prime is 42614489. The reversal of 42614480 is 8441624.

It is an interprime number because it is at equal distance from previous prime (42614471) and next prime (42614489).

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 39488656 = 1768^2 + 6284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614489) 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, 2192 + ... + 9488.

Almost surely, 2^42614480 is an apocalyptic number.

42614480 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 42614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50224836).

42614480 is an abundant number, since it is smaller than the sum of its proper divisors (57835192).

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

42614480 is a wasteful number, since it uses less digits than its factorization.

42614480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 42614480 is about 6527.9767156447. The cubic root of 42614480 is about 349.2896613561.

The spelling of 42614480 in words is "forty-two million, six hundred fourteen thousand, four hundred eighty".