411863040 has 288 divisors, whose sum is σ = 1475674200. Its totient is φ = 106168320.

The previous prime is 411863027. The next prime is 411863051. The reversal of 411863040 is 40368114.

It can be written as a sum of positive squares in 4 ways, for example, as 263218176 + 148644864 = 16224^2 + 12192^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 411862995 and 411863013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778506 + ... + 3778614.

Almost surely, 2^411863040 is an apocalyptic number.

411863040 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 411863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737837100).

411863040 is an abundant number, since it is smaller than the sum of its proper divisors (1063811160).

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

411863040 is a wasteful number, since it uses less digits than its factorization.

411863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

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

The square root of 411863040 is about 20294.4090823064. The cubic root of 411863040 is about 744.0194237038.

The spelling of 411863040 in words is "four hundred eleven million, eight hundred sixty-three thousand, forty".