415344420 has 36 divisors (see below), whose sum is σ = 1259878620. Its totient is φ = 110758464.

The previous prime is 415344401. The next prime is 415344431. The reversal of 415344420 is 24443514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50381604 + 364962816 = 7098^2 + 19104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153555 + ... + 1153914.

Almost surely, 2^415344420 is an apocalyptic number.

It is an amenable number.

415344420 is an abundant number, since it is smaller than the sum of its proper divisors (844534200).

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

415344420 is a wasteful number, since it uses less digits than its factorization.

415344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307484 (or 2307479 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 415344420 is about 20380.0004906771. Note that the first 3 decimals coincide. The cubic root of 415344420 is about 746.1098842177.

Adding to 415344420 its reverse (24443514), we get a palindrome (439787934).

It can be divided in two parts, 41534 and 4420, that added together give a palindrome (45954).

The spelling of 415344420 in words is "four hundred fifteen million, three hundred forty-four thousand, four hundred twenty".