409016448 has 48 divisors (see below), whose sum is σ = 1176990750. Its totient is φ = 136338432.

The previous prime is 409016437. The next prime is 409016459. The reversal of 409016448 is 844610904.

It is a happy number.

409016448 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 1 + 644 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (409016437) and next prime (409016459).

It can be written as a sum of positive squares in only one way, i.e., 226442304 + 182574144 = 15048^2 + 13512^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176373 + ... + 178676.

Almost surely, 2^409016448 is an apocalyptic number.

409016448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409016448 is an abundant number, since it is smaller than the sum of its proper divisors (767974302).

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

409016448 is a wasteful number, since it uses less digits than its factorization.

409016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355069 (or 355054 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 409016448 is about 20224.1550626967. The cubic root of 409016448 is about 742.3013623659.

The spelling of 409016448 in words is "four hundred nine million, sixteen thousand, four hundred forty-eight".