42609504 has 96 divisors (see below), whose sum is σ = 128943360. Its totient is φ = 12068352.

The previous prime is 42609493. The next prime is 42609527. The reversal of 42609504 is 40590624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42609504² = 3631139662252032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109342 + ... + 109730.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^42609504 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 42609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471680).

42609504 is an abundant number, since it is smaller than the sum of its proper divisors (86333856).

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

42609504 is a wasteful number, since it uses less digits than its factorization.

42609504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42609504 is about 6527.5955757078. The cubic root of 42609504 is about 349.2760655627.

The spelling of 42609504 in words is "forty-two million, six hundred nine thousand, five hundred four".