42610464 has 144 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 12400128.

The previous prime is 42610433. The next prime is 42610489. The reversal of 42610464 is 46401624.

42610464 is a `hidden beast` number, since 4 + 2 + 610 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70837 + ... + 71435.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^42610464 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 42610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

42610464 is an abundant number, since it is smaller than the sum of its proper divisors (94981536).

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

42610464 is a wasteful number, since it uses less digits than its factorization.

42610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42610464 is about 6527.6691092610. The cubic root of 42610464 is about 349.2786886277.

The spelling of 42610464 in words is "forty-two million, six hundred ten thousand, four hundred sixty-four".