42520464 has 200 divisors, whose sum is σ = 145238720. Its totient is φ = 11757312.

The previous prime is 42520447. The next prime is 42520487. The reversal of 42520464 is 46402524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 390042 + ... + 390150.

Almost surely, 2^42520464 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 42520464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72619360).

42520464 is an abundant number, since it is smaller than the sum of its proper divisors (102718256).

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

42520464 is a wasteful number, since it uses less digits than its factorization.

42520464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

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

The square root of 42520464 is about 6520.7717334684. The cubic root of 42520464 is about 349.0326047868.

Adding to 42520464 its reverse (46402524), we get a palindrome (88922988).

The spelling of 42520464 in words is "forty-two million, five hundred twenty thousand, four hundred sixty-four".