411222400 has 96 divisors (see below), whose sum is σ = 1026195480. Its totient is φ = 162816000.

The previous prime is 411222391. The next prime is 411222437. The reversal of 411222400 is 4222114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341800 + ... + 343000.

Almost surely, 2^411222400 is an apocalyptic number.

411222400 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 411222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513097740).

411222400 is an abundant number, since it is smaller than the sum of its proper divisors (614973080).

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

411222400 is a wasteful number, since it uses less digits than its factorization.

411222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 411222400 is about 20278.6192823871. The cubic root of 411222400 is about 743.6334572470.

Adding to 411222400 its reverse (4222114), we get a palindrome (415444514).

The spelling of 411222400 in words is "four hundred eleven million, two hundred twenty-two thousand, four hundred".