415240 has 32 divisors (see below), whose sum is σ = 1068480. Its totient is φ = 142272.

The previous prime is 415231. The next prime is 415253. The reversal of 415240 is 42514.

415240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 462 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2⁴¹⁵²⁴⁰ is an apocalyptic number.

415240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415240 is an abundant number, since it is smaller than the sum of its proper divisors (653240).

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

415240 is a wasteful number, since it uses less digits than its factorization.

415240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 415240 is about 644.3911855387. The cubic root of 415240 is about 74.6047353524.

Adding to 415240 its reverse (42514), we get a palindrome (457754).

It can be divided in two parts, 41 and 5240, that multiplied together give a triangular number (214840 = T₆₅₅).

The spelling of 415240 in words is "four hundred fifteen thousand, two hundred forty".