411471400 has 48 divisors (see below), whose sum is σ = 1012954140. Its totient is φ = 154905600.

The previous prime is 411471373. The next prime is 411471407. The reversal of 411471400 is 4174114.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 81613156 + 329858244 = 9034^2 + 18162^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (411471407) 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 11 ways as a sum of consecutive naturals, for example, 57111 + ... + 63910.

Almost surely, 2^411471400 is an apocalyptic number.

411471400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411471400 is an abundant number, since it is smaller than the sum of its proper divisors (601482740).

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

411471400 is a wasteful number, since it uses less digits than its factorization.

411471400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121054 (or 121045 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 411471400 is about 20284.7578245342. The cubic root of 411471400 is about 743.7835198978.

The spelling of 411471400 in words is "four hundred eleven million, four hundred seventy-one thousand, four hundred".