42509376 has 168 divisors, whose sum is σ = 150148544. Its totient is φ = 11197440.

The previous prime is 42509353. The next prime is 42509381. The reversal of 42509376 is 67390524.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42509376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52011 + ... + 52821.

Almost surely, 2^42509376 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 42509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75074272).

42509376 is an abundant number, since it is smaller than the sum of its proper divisors (107639168).

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

42509376 is a wasteful number, since it uses less digits than its factorization.

42509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42509376 is about 6519.9214719197. The cubic root of 42509376 is about 349.0022632399.

The spelling of 42509376 in words is "forty-two million, five hundred nine thousand, three hundred seventy-six".