415978440 has 64 divisors (see below), whose sum is σ = 1321349760. Its totient is φ = 104401920.

The previous prime is 415978439. The next prime is 415978441. The reversal of 415978440 is 44879514.

It is an interprime number because it is at equal distance from previous prime (415978439) and next prime (415978441).

It is a junction number, because it is equal to n+sod(n) for n = 415978392 and 415978401.

It is not an unprimeable number, because it can be changed into a prime (415978441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99916 + ... + 103995.

It is an arithmetic number, because the mean of its divisors is an integer number (20646090).

Almost surely, 2^415978440 is an apocalyptic number.

415978440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415978440 is an abundant number, since it is smaller than the sum of its proper divisors (905371320).

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

415978440 is a wasteful number, since it uses less digits than its factorization.

415978440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203942 (or 203938 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 415978440 is about 20395.5495145387. The cubic root of 415978440 is about 746.4893348361.

The spelling of 415978440 in words is "four hundred fifteen million, nine hundred seventy-eight thousand, four hundred forty".