42002464 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 16692480.

The previous prime is 42002459. The next prime is 42002507. The reversal of 42002464 is 46420024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 302107 + ... + 302245.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^42002464 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 42002464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

42002464 is an abundant number, since it is smaller than the sum of its proper divisors (59603936).

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

42002464 is a wasteful number, since it uses less digits than its factorization.

42002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 42002464 is about 6480.9307973469. The cubic root of 42002464 is about 347.6094619189.

Adding to 42002464 its reverse (46420024), we get a palindrome (88422488).

The spelling of 42002464 in words is "forty-two million, two thousand, four hundred sixty-four".