415121200 has 120 divisors (see below), whose sum is σ = 1086437408. Its totient is φ = 151511040.

The previous prime is 415121141. The next prime is 415121219. The reversal of 415121200 is 2121514.

It is a super-2 number, since 2×415121200² = 344651221378880000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 503989 + ... + 504811.

Almost surely, 2^415121200 is an apocalyptic number.

415121200 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 415121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543218704).

415121200 is an abundant number, since it is smaller than the sum of its proper divisors (671316208).

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

415121200 is a wasteful number, since it uses less digits than its factorization.

415121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 415121200 is about 20374.5233073071. The cubic root of 415121200 is about 745.9761987869.

Adding to 415121200 its reverse (2121514), we get a palindrome (417242714).

The spelling of 415121200 in words is "four hundred fifteen million, one hundred twenty-one thousand, two hundred".