409002048 has 504 divisors, whose sum is σ = 1589503552. Its totient is φ = 101523456.

The previous prime is 409002023. The next prime is 409002053. The reversal of 409002048 is 840200904.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24058936 + ... + 24058952.

Almost surely, 2^409002048 is an apocalyptic number.

409002048 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 409002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794751776).

409002048 is an abundant number, since it is smaller than the sum of its proper divisors (1180501504).

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

409002048 is a wasteful number, since it uses less digits than its factorization.

409002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409002048 is about 20223.7990496346. The cubic root of 409002048 is about 742.2926510088.

The spelling of 409002048 in words is "four hundred nine million, two thousand, forty-eight".