409590048 has 48 divisors (see below), whose sum is σ = 1228772160. Its totient is φ = 117025536.

The previous prime is 409590043. The next prime is 409590089. The reversal of 409590048 is 840095904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 409589988 and 409590015.

It is not an unprimeable number, because it can be changed into a prime (409590043) 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, 304083 + ... + 305426.

It is an arithmetic number, because the mean of its divisors is an integer number (25599420).

Almost surely, 2^409590048 is an apocalyptic number.

409590048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409590048 is an abundant number, since it is smaller than the sum of its proper divisors (819182112).

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

409590048 is a wasteful number, since it uses less digits than its factorization.

409590048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609529 (or 609521 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 409590048 is about 20238.3311564961. The cubic root of 409590048 is about 742.6481986038.

The spelling of 409590048 in words is "four hundred nine million, five hundred ninety thousand, forty-eight".