415295840 has 96 divisors (see below), whose sum is σ = 1024047360. Its totient is φ = 158976000.

The previous prime is 415295833. The next prime is 415295857. The reversal of 415295840 is 48592514.

It is a junction number, because it is equal to n+sod(n) for n = 415295794 and 415295803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500546 + ... + 501374.

It is an arithmetic number, because the mean of its divisors is an integer number (10667160).

Almost surely, 2^415295840 is an apocalyptic number.

415295840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512023680).

415295840 is an abundant number, since it is smaller than the sum of its proper divisors (608751520).

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

415295840 is a wasteful number, since it uses less digits than its factorization.

415295840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 415295840 is about 20378.8086010934. The cubic root of 415295840 is about 746.0807939577.

The spelling of 415295840 in words is "four hundred fifteen million, two hundred ninety-five thousand, eight hundred forty".