42502464 has 84 divisors (see below), whose sum is σ = 123091956. Its totient is φ = 14020608.

The previous prime is 42502463. The next prime is 42502489. The reversal of 42502464 is 46420524.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 38340864 = 2040^2 + 6192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42502463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64762 + ... + 65414.

Almost surely, 2^42502464 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 42502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61545978).

42502464 is an abundant number, since it is smaller than the sum of its proper divisors (80589492).

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

42502464 is a wasteful number, since it uses less digits than its factorization.

42502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42502464 is about 6519.3913826369. The cubic root of 42502464 is about 348.9833463590.

Adding to 42502464 its reverse (46420524), we get a palindrome (88922988).

The spelling of 42502464 in words is "forty-two million, five hundred two thousand, four hundred sixty-four".