415537461 has 12 divisors (see below), whose sum is σ = 602360460. Its totient is φ = 276037440.

The previous prime is 415537457. The next prime is 415537471. The reversal of 415537461 is 164735514.

415537461 is a `hidden beast` number, since 41 + 553 + 7 + 4 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99800100 + 315737361 = 9990^2 + 17769^2 .

It is not a de Polignac number, because 415537461 - 2² = 415537457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415537411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79626 + ... + 84683.

It is an arithmetic number, because the mean of its divisors is an integer number (50196705).

Almost surely, 2^415537461 is an apocalyptic number.

It is an amenable number.

415537461 is a deficient number, since it is larger than the sum of its proper divisors (186822999).

415537461 is a wasteful number, since it uses less digits than its factorization.

415537461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164596 (or 164593 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 415537461 is about 20384.7359806302. The cubic root of 415537461 is about 746.2254569675.

It can be divided in two parts, 4155 and 37461, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 415537461 in words is "four hundred fifteen million, five hundred thirty-seven thousand, four hundred sixty-one".