414312030 has 128 divisors (see below), whose sum is σ = 1213056000. Its totient is φ = 99792000.

The previous prime is 414312007. The next prime is 414312037. The reversal of 414312030 is 30213414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414311994 and 414312012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414312037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590680 + ... + 591380.

It is an arithmetic number, because the mean of its divisors is an integer number (9477000).

Almost surely, 2^414312030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606528000).

414312030 is an abundant number, since it is smaller than the sum of its proper divisors (798743970).

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

414312030 is a wasteful number, since it uses less digits than its factorization.

414312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 414312030 is about 20354.6562240682. The cubic root of 414312030 is about 745.4911884760.

Adding to 414312030 its reverse (30213414), we get a palindrome (444525444).

The spelling of 414312030 in words is "four hundred fourteen million, three hundred twelve thousand, thirty".