42409760 has 48 divisors (see below), whose sum is σ = 100594872. Its totient is φ = 16896000.

The previous prime is 42409753. The next prime is 42409777. The reversal of 42409760 is 6790424.

It can be written as a sum of positive squares in 4 ways, for example, as 42354064 + 55696 = 6508^2 + 236^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63830 + ... + 64490.

Almost surely, 2^42409760 is an apocalyptic number.

42409760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42409760 is an abundant number, since it is smaller than the sum of its proper divisors (58185112).

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

42409760 is a wasteful number, since it uses less digits than its factorization.

42409760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 42409760 is about 6512.2776353592. The cubic root of 42409760 is about 348.7294340035.

The spelling of 42409760 in words is "forty-two million, four hundred nine thousand, seven hundred sixty".