42461580 has 192 divisors, whose sum is σ = 151925760. Its totient is φ = 8626176.

The previous prime is 42461569. The next prime is 42461591. The reversal of 42461580 is 8516424.

42461580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42461569) and next prime (42461591).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135504 + ... + 135816.

It is an arithmetic number, because the mean of its divisors is an integer number (791280).

Almost surely, 2^42461580 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 42461580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75962880).

42461580 is an abundant number, since it is smaller than the sum of its proper divisors (109464180).

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

42461580 is a wasteful number, since it uses less digits than its factorization.

42461580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42461580 is about 6516.2550594648. The cubic root of 42461580 is about 348.8714123590.

The spelling of 42461580 in words is "forty-two million, four hundred sixty-one thousand, five hundred eighty".