42160464 has 120 divisors (see below), whose sum is σ = 124778472. Its totient is φ = 13271040.

The previous prime is 42160441. The next prime is 42160471. The reversal of 42160464 is 46406124.

42160464 is a `hidden beast` number, since 42 + 160 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 40449600 = 1308^2 + 6360^2 .

It is a congruent number.

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, 218352 + ... + 218544.

Almost surely, 2^42160464 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 42160464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62389236).

42160464 is an abundant number, since it is smaller than the sum of its proper divisors (82618008).

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

42160464 is a wasteful number, since it uses less digits than its factorization.

42160464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

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

The square root of 42160464 is about 6493.1089625849. The cubic root of 42160464 is about 348.0447821878.

Adding to 42160464 its reverse (46406124), we get a palindrome (88566588).

It can be divided in two parts, 42160 and 464, that added together give a palindrome (42624).

The spelling of 42160464 in words is "forty-two million, one hundred sixty thousand, four hundred sixty-four".