410641400 has 96 divisors (see below), whose sum is σ = 1052380560. Its totient is φ = 148055040.

The previous prime is 410641393. The next prime is 410641423. The reversal of 410641400 is 4146014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109964 + ... + 113636.

Almost surely, 2^410641400 is an apocalyptic number.

410641400 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 410641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526190280).

410641400 is an abundant number, since it is smaller than the sum of its proper divisors (641739160).

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

410641400 is a wasteful number, since it uses less digits than its factorization.

410641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 410641400 is about 20264.2887859407. The cubic root of 410641400 is about 743.2830753332.

Adding to 410641400 its reverse (4146014), we get a palindrome (414787414).

The spelling of 410641400 in words is "four hundred ten million, six hundred forty-one thousand, four hundred".