409488149 has 20 divisors (see below), whose sum is σ = 494264460. Its totient is φ = 338829120.

The previous prime is 409488109. The next prime is 409488151. The reversal of 409488149 is 941884904.

It can be written as a sum of positive squares in 2 ways, for example, as 282475249 + 127012900 = 16807^2 + 11270^2 .

It is not a de Polignac number, because 409488149 - 2⁸ = 409487893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409488109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66689 + ... + 72569.

It is an arithmetic number, because the mean of its divisors is an integer number (24713223).

Almost surely, 2^409488149 is an apocalyptic number.

409488149 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

409488149 is a deficient number, since it is larger than the sum of its proper divisors (84776311).

409488149 is an frugal number, since it uses more digits than its factorization.

409488149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 409488149 is about 20235.8135245411. The cubic root of 409488149 is about 742.5866074384.

The spelling of 409488149 in words is "four hundred nine million, four hundred eighty-eight thousand, one hundred forty-nine".