415791040 has 56 divisors (see below), whose sum is σ = 1131551712. Its totient is φ = 142556160.

The previous prime is 415791029. The next prime is 415791053. The reversal of 415791040 is 40197514.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 415790993 and 415791011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90571 + ... + 95050.

Almost surely, 2^415791040 is an apocalyptic number.

415791040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415791040 is an abundant number, since it is smaller than the sum of its proper divisors (715760672).

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

415791040 is a wasteful number, since it uses less digits than its factorization.

415791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185645 (or 185635 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 415791040 is about 20390.9548574852. The cubic root of 415791040 is about 746.3772191585.

The spelling of 415791040 in words is "four hundred fifteen million, seven hundred ninety-one thousand, forty".