42414500 has 48 divisors (see below), whose sum is σ = 94938480. Its totient is φ = 16544000.

The previous prime is 42414497. The next prime is 42414503. The reversal of 42414500 is 541424.

It is an interprime number because it is at equal distance from previous prime (42414497) and next prime (42414503).

It can be written as a sum of positive squares in 8 ways, for example, as 32878756 + 9535744 = 5734^2 + 3088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42414503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19466 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^42414500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469240).

42414500 is an abundant number, since it is smaller than the sum of its proper divisors (52523980).

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

42414500 is a wasteful number, since it uses less digits than its factorization.

42414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 42414500 is about 6512.6415531641. The cubic root of 42414500 is about 348.7424256351.

Adding to 42414500 its reverse (541424), we get a palindrome (42955924).

The spelling of 42414500 in words is "forty-two million, four hundred fourteen thousand, five hundred".