411644160 has 288 divisors, whose sum is σ = 1500132480. Its totient is φ = 106831872.

The previous prime is 411644131. The next prime is 411644173. The reversal of 411644160 is 61446114.

411644160 is a `hidden beast` number, since 4 + 1 + 1 + 644 + 16 + 0 = 666.

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

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485942 + ... + 1486218.

Almost surely, 2^411644160 is an apocalyptic number.

411644160 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 411644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750066240).

411644160 is an abundant number, since it is smaller than the sum of its proper divisors (1088488320).

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

411644160 is a wasteful number, since it uses less digits than its factorization.

411644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

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

The square root of 411644160 is about 20289.0157474432. The cubic root of 411644160 is about 743.8876000856.

The spelling of 411644160 in words is "four hundred eleven million, six hundred forty-four thousand, one hundred sixty".