414321642 has 80 divisors (see below), whose sum is σ = 1065651840. Its totient is φ = 117860832.

The previous prime is 414321599. The next prime is 414321643. The reversal of 414321642 is 246123414.

It is a happy number.

414321642 is a `hidden beast` number, since 4 + 14 + 3 + 2 + 1 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414321643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313459 + ... + 314777.

It is an arithmetic number, because the mean of its divisors is an integer number (13320648).

Almost surely, 2^414321642 is an apocalyptic number.

414321642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414321642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532825920).

414321642 is an abundant number, since it is smaller than the sum of its proper divisors (651330198).

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

414321642 is a wasteful number, since it uses less digits than its factorization.

414321642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 414321642 is about 20354.8923357506. The cubic root of 414321642 is about 745.4969535399.

The spelling of 414321642 in words is "four hundred fourteen million, three hundred twenty-one thousand, six hundred forty-two".