415283920 has 20 divisors (see below), whose sum is σ = 965535300. Its totient is φ = 166113536.

The previous prime is 415283917. The next prime is 415283941. The reversal of 415283920 is 29382514.

It can be written as a sum of positive squares in 2 ways, for example, as 267126336 + 148157584 = 16344^2 + 12172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2595445 + ... + 2595604.

It is an arithmetic number, because the mean of its divisors is an integer number (48276765).

Almost surely, 2^415283920 is an apocalyptic number.

415283920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415283920 is an abundant number, since it is smaller than the sum of its proper divisors (550251380).

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

415283920 is a wasteful number, since it uses less digits than its factorization.

415283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191062 (or 5191056 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 415283920 is about 20378.5161383257. The cubic root of 415283920 is about 746.0736557787.

The spelling of 415283920 in words is "four hundred fifteen million, two hundred eighty-three thousand, nine hundred twenty".