407742 has 8 divisors (see below), whose sum is σ = 815496. Its totient is φ = 135912.

The previous prime is 407741. The next prime is 407747. The reversal of 407742 is 247704.

It is a sphenic number, since it is the product of 3 distinct primes.

407742 is an admirable number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407741) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33973 + ... + 33984.

It is an arithmetic number, because the mean of its divisors is an integer number (101937).

2⁴⁰⁷⁷⁴² is an apocalyptic number.

407742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

407742 is a wasteful number, since it uses less digits than its factorization.

407742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67962.

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 407742 is about 638.5467876358. The cubic root of 407742 is about 74.1529585124.

The spelling of 407742 in words is "four hundred seven thousand, seven hundred forty-two", and thus it is an iban number.