411861240 has 256 divisors, whose sum is σ = 1583539200. Its totient is φ = 93270528.

The previous prime is 411861223. The next prime is 411861269. The reversal of 411861240 is 42168114.

It is a happy number.

411861240 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 612 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186747 + ... + 1187093.

It is an arithmetic number, because the mean of its divisors is an integer number (6185700).

Almost surely, 2^411861240 is an apocalyptic number.

411861240 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 411861240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791769600).

411861240 is an abundant number, since it is smaller than the sum of its proper divisors (1171677960).

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

411861240 is a wasteful number, since it uses less digits than its factorization.

411861240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 411861240 is about 20294.3647350687. The cubic root of 411861240 is about 744.0183398185.

The spelling of 411861240 in words is "four hundred eleven million, eight hundred sixty-one thousand, two hundred forty".