415507456 has 165 divisors, whose sum is σ = 1049257401. Its totient is φ = 164376576.

The previous prime is 415507369. The next prime is 415507457. The reversal of 415507456 is 654705514.

It is a happy number.

The square root of 415507456 is 20384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61465600 + 354041856 = 7840^2 + 18816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415507457) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 31962106 + ... + 31962118.

Almost surely, 2^415507456 is an apocalyptic number.

415507456 is the 20384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415507456

415507456 is an abundant number, since it is smaller than the sum of its proper divisors (633749945).

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

415507456 is an frugal number, since it uses more digits than its factorization.

415507456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The cubic root of 415507456 is about 746.2074954631.

The spelling of 415507456 in words is "four hundred fifteen million, five hundred seven thousand, four hundred fifty-six".