415221400 has 96 divisors (see below), whose sum is σ = 1081828080. Its totient is φ = 146880000.

The previous prime is 415221397. The next prime is 415221427. The reversal of 415221400 is 4122514.

It is a super-2 number, since 2×415221400² = 344817622035920000, which contains 22 as substring.

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, 78850 + ... + 83950.

Almost surely, 2^415221400 is an apocalyptic number.

415221400 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 415221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540914040).

415221400 is an abundant number, since it is smaller than the sum of its proper divisors (666606680).

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

415221400 is a wasteful number, since it uses less digits than its factorization.

415221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 415221400 is about 20376.9821121775. The cubic root of 415221400 is about 746.0362140321.

Adding to 415221400 its reverse (4122514), we get a palindrome (419343914).

It can be divided in two parts, 4152 and 21400, that added together give a palindrome (25552).

The spelling of 415221400 in words is "four hundred fifteen million, two hundred twenty-one thousand, four hundred".