411402240 has 320 divisors, whose sum is σ = 1522509120. Its totient is φ = 106168320.

The previous prime is 411402203. The next prime is 411402253. The reversal of 411402240 is 42204114.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13271025 + ... + 13271055.

It is an arithmetic number, because the mean of its divisors is an integer number (4757841).

Almost surely, 2^411402240 is an apocalyptic number.

411402240 is a gapful number since it is divisible by the number (40) 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 411402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761254560).

411402240 is an abundant number, since it is smaller than the sum of its proper divisors (1111106880).

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

411402240 is an frugal number, since it uses more digits than its factorization.

411402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 411402240 is about 20283.0530246312. The cubic root of 411402240 is about 743.7418459196.

Adding to 411402240 its reverse (42204114), we get a palindrome (453606354).

The spelling of 411402240 in words is "four hundred eleven million, four hundred two thousand, two hundred forty".