410981040 has 240 divisors, whose sum is σ = 1482717600. Its totient is φ = 105815808.

The previous prime is 410981029. The next prime is 410981041. The reversal of 410981040 is 40189014.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 410980995 and 410981013.

It is not an unprimeable number, because it can be changed into a prime (410981041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14171746 + ... + 14171774.

It is an arithmetic number, because the mean of its divisors is an integer number (6177990).

Almost surely, 2^410981040 is an apocalyptic number.

410981040 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 410981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741358800).

410981040 is an abundant number, since it is smaller than the sum of its proper divisors (1071736560).

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

410981040 is an frugal number, since it uses more digits than its factorization.

410981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 410981040 is about 20272.6673134050. The cubic root of 410981040 is about 743.4879411000.

The spelling of 410981040 in words is "four hundred ten million, nine hundred eighty-one thousand, forty".