42462240 has 48 divisors (see below), whose sum is σ = 133757568. Its totient is φ = 11323136.

The previous prime is 42462229. The next prime is 42462269. The reversal of 42462240 is 4226424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42462240.

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, 43752 + ... + 44711.

It is an arithmetic number, because the mean of its divisors is an integer number (2786616).

Almost surely, 2^42462240 is an apocalyptic number.

42462240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42462240 is an abundant number, since it is smaller than the sum of its proper divisors (91295328).

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

42462240 is a wasteful number, since it uses less digits than its factorization.

42462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88481 (or 88473 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42462240 is about 6516.3057018529. The cubic root of 42462240 is about 348.8732199063.

Adding to 42462240 its reverse (4226424), we get a palindrome (46688664).

The spelling of 42462240 in words is "forty-two million, four hundred sixty-two thousand, two hundred forty".