411138048 has 96 divisors (see below), whose sum is σ = 1115084880. Its totient is φ = 134676480.

The previous prime is 411138031. The next prime is 411138059. The reversal of 411138048 is 840831114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×411138048³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374236 + ... + 375332.

Almost surely, 2^411138048 is an apocalyptic number.

411138048 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 411138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557542440).

411138048 is an abundant number, since it is smaller than the sum of its proper divisors (703946832).

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

411138048 is a wasteful number, since it uses less digits than its factorization.

411138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 411138048 is about 20276.5393497017. The cubic root of 411138048 is about 743.5826078292.

The spelling of 411138048 in words is "four hundred eleven million, one hundred thirty-eight thousand, forty-eight".