411394800 has 120 divisors (see below), whose sum is σ = 1360468480. Its totient is φ = 106156800.

The previous prime is 411394799. The next prime is 411394801. The reversal of 411394800 is 8493114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (411394799) and next prime (411394801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411394801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31671 + ... + 42729.

Almost surely, 2^411394800 is an apocalyptic number.

411394800 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 411394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680234240).

411394800 is an abundant number, since it is smaller than the sum of its proper divisors (949073680).

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

411394800 is a wasteful number, since it uses less digits than its factorization.

411394800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 411394800 is about 20282.8696194597. The cubic root of 411394800 is about 743.7373624951.

The spelling of 411394800 in words is "four hundred eleven million, three hundred ninety-four thousand, eight hundred".