411213400 has 96 divisors (see below), whose sum is σ = 1039777200. Its totient is φ = 150336000.

The previous prime is 411213377. The next prime is 411213479. The reversal of 411213400 is 4312114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282675 + ... + 284125.

Almost surely, 2^411213400 is an apocalyptic number.

411213400 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 411213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519888600).

411213400 is an abundant number, since it is smaller than the sum of its proper divisors (628563800).

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

411213400 is a wasteful number, since it uses less digits than its factorization.

411213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

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

The square root of 411213400 is about 20278.3973725736. The cubic root of 411213400 is about 743.6280321616.

Adding to 411213400 its reverse (4312114), we get a palindrome (415525514).

It can be divided in two parts, 41121 and 3400, that added together give a square (44521 = 211²).

The spelling of 411213400 in words is "four hundred eleven million, two hundred thirteen thousand, four hundred".