411640000 has 140 divisors (see below), whose sum is σ = 1049795208. Its totient is φ = 160000000.

The previous prime is 411639983. The next prime is 411640001. The reversal of 411640000 is 46114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (411640001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1639875 + ... + 1640125.

Almost surely, 2^411640000 is an apocalyptic number.

411640000 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 411640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524897604).

411640000 is an abundant number, since it is smaller than the sum of its proper divisors (638155208).

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

411640000 is an equidigital number, since it uses as much as digits as its factorization.

411640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 411640000 is about 20288.9132286577. The cubic root of 411640000 is about 743.8850942135.

Adding to 411640000 its reverse (46114), we get a palindrome (411686114).

It can be divided in two parts, 41 and 1640000, that multiplied together give a square (67240000 = 8200²).

The spelling of 411640000 in words is "four hundred eleven million, six hundred forty thousand".