411977104 has 240 divisors, whose sum is σ = 1107357696. Its totient is φ = 146361600.

The previous prime is 411977101. The next prime is 411977107. The reversal of 411977104 is 401779114.

It is an interprime number because it is at equal distance from previous prime (411977101) and next prime (411977107).

It is a self number, because there is not a number n which added to its sum of digits gives 411977104.

It is not an unprimeable number, because it can be changed into a prime (411977101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6148879 + ... + 6148945.

Almost surely, 2^411977104 is an apocalyptic number.

411977104 is a gapful number since it is divisible by the number (44) 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 411977104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553678848).

411977104 is an abundant number, since it is smaller than the sum of its proper divisors (695380592).

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

411977104 is a wasteful number, since it uses less digits than its factorization.

411977104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 411977104 is about 20297.2191198696. The cubic root of 411977104 is about 744.0881018727.

The spelling of 411977104 in words is "four hundred eleven million, nine hundred seventy-seven thousand, one hundred four".