4242640 has 40 divisors (see below), whose sum is σ = 9952488. Its totient is φ = 1681920.

The previous prime is 4242619. The next prime is 4242659. The reversal of 4242640 is 462424.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 3968064 = 524^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 4² + 2⁷ + 4⁵ + 2⁹ + 6⁶ + 4¹¹ + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14334 + ... + 14626.

Almost surely, 2^4242640 is an apocalyptic number.

4242640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244).

4242640 is an abundant number, since it is smaller than the sum of its proper divisors (5709848).

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

4242640 is a wasteful number, since it uses less digits than its factorization.

4242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4242640 is about 2059.7669771117. The cubic root of 4242640 is about 161.8870319466.

The spelling of 4242640 in words is "four million, two hundred forty-two thousand, six hundred forty".