415125400 has 48 divisors (see below), whose sum is σ = 968453640. Its totient is φ = 165484800.

The previous prime is 415125383. The next prime is 415125421. The reversal of 415125400 is 4521514.

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, 58020 + ... + 64780.

Almost surely, 2^415125400 is an apocalyptic number.

415125400 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 415125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484226820).

415125400 is an abundant number, since it is smaller than the sum of its proper divisors (553328240).

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

415125400 is a wasteful number, since it uses less digits than its factorization.

415125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 415125400 is about 20374.6263769425. The cubic root of 415125400 is about 745.9787145898.

Adding to 415125400 its reverse (4521514), we get a palindrome (419646914).

The spelling of 415125400 in words is "four hundred fifteen million, one hundred twenty-five thousand, four hundred".