415164040 has 32 divisors (see below), whose sum is σ = 937863360. Its totient is φ = 165400000.

The previous prime is 415164031. The next prime is 415164047. The reversal of 415164040 is 40461514.

It is a super-2 number, since 2×415164040² = 344722360218243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415163996 and 415164014.

It is not an unprimeable number, because it can be changed into a prime (415164047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10636 + ... + 30715.

It is an arithmetic number, because the mean of its divisors is an integer number (29308230).

Almost surely, 2^415164040 is an apocalyptic number.

415164040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415164040 is an abundant number, since it is smaller than the sum of its proper divisors (522699320).

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

415164040 is a wasteful number, since it uses less digits than its factorization.

415164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41613 (or 41609 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 415164040 is about 20375.5745931250. The cubic root of 415164040 is about 746.0018591812.

The spelling of 415164040 in words is "four hundred fifteen million, one hundred sixty-four thousand, forty".