415624041 has 64 divisors (see below), whose sum is σ = 754767360. Its totient is φ = 223388928.

The previous prime is 415624019. The next prime is 415624043. The reversal of 415624041 is 140426514.

415624041 is a `hidden beast` number, since 415 + 6 + 240 + 4 + 1 = 666.

It is not a de Polignac number, because 415624041 - 2¹⁰ = 415623017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 415623996 and 415624014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415624043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259455 + ... + 261051.

It is an arithmetic number, because the mean of its divisors is an integer number (11793240).

Almost surely, 2^415624041 is an apocalyptic number.

It is an amenable number.

415624041 is a deficient number, since it is larger than the sum of its proper divisors (339143319).

415624041 is an equidigital number, since it uses as much as digits as its factorization.

415624041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415624041 is about 20386.8595178365. The cubic root of 415624041 is about 746.2772803845.

The spelling of 415624041 in words is "four hundred fifteen million, six hundred twenty-four thousand, forty-one".