414122500 has 135 divisors (see below), whose sum is σ = 1023045177. Its totient is φ = 146520000.

The previous prime is 414122497. The next prime is 414122531. The reversal of 414122500 is 5221414.

The square root of 414122500 is 20350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 137499076 + 276623424 = 11726^2 + 16632^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11192482 + ... + 11192518.

Almost surely, 2^414122500 is an apocalyptic number.

414122500 is the 20350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414122500

414122500 is an abundant number, since it is smaller than the sum of its proper divisors (608922677).

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

414122500 is a wasteful number, since it uses less digits than its factorization.

414122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

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

The cubic root of 414122500 is about 745.3774943797.

Adding to 414122500 its reverse (5221414), we get a palindrome (419343914).

The spelling of 414122500 in words is "four hundred fourteen million, one hundred twenty-two thousand, five hundred".