414225120 has 96 divisors (see below), whose sum is σ = 1308478752. Its totient is φ = 110149632.

The previous prime is 414225103. The next prime is 414225127. The reversal of 414225120 is 21522414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414225127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206844 + ... + 208836.

It is an arithmetic number, because the mean of its divisors is an integer number (13629987).

Almost surely, 2^414225120 is an apocalyptic number.

414225120 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 414225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654239376).

414225120 is an abundant number, since it is smaller than the sum of its proper divisors (894253632).

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

414225120 is a wasteful number, since it uses less digits than its factorization.

414225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 414225120 is about 20352.5212197408. The cubic root of 414225120 is about 745.4390577425.

Adding to 414225120 its reverse (21522414), we get a palindrome (435747534).

The spelling of 414225120 in words is "four hundred fourteen million, two hundred twenty-five thousand, one hundred twenty".