411293376 has 280 divisors, whose sum is σ = 1394094240. Its totient is φ = 118775808.

The previous prime is 411293357. The next prime is 411293401. The reversal of 411293376 is 673392114.

It is a super-2 number, since 2×411293376² = 338324482282954752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 411293376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145485 + ... + 1145843.

It is an arithmetic number, because the mean of its divisors is an integer number (4978908).

Almost surely, 2^411293376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697047120).

411293376 is an abundant number, since it is smaller than the sum of its proper divisors (982800864).

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

411293376 is a wasteful number, since it uses less digits than its factorization.

411293376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 411293376 is about 20280.3692274081. The cubic root of 411293376 is about 743.6762379029.

The spelling of 411293376 in words is "four hundred eleven million, two hundred ninety-three thousand, three hundred seventy-six".