409045248 has 288 divisors, whose sum is σ = 1318625280. Its totient is φ = 124692480.

The previous prime is 409045229. The next prime is 409045267. The reversal of 409045248 is 842540904.

409045248 is a `hidden beast` number, since 40 + 90 + 4 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (409045229) and next prime (409045267).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×409045248² = 334636029822763008, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4928215 + ... + 4928297.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^409045248 is an apocalyptic number.

409045248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

409045248 is an abundant number, since it is smaller than the sum of its proper divisors (909580032).

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

409045248 is a wasteful number, since it uses less digits than its factorization.

409045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 409045248 is about 20224.8670700205. The cubic root of 409045248 is about 742.3187844668.

The spelling of 409045248 in words is "four hundred nine million, forty-five thousand, two hundred forty-eight".