414489420 has 96 divisors (see below), whose sum is σ = 1298001600. Its totient is φ = 109804032.

The previous prime is 414489419. The next prime is 414489421. The reversal of 414489420 is 24984414.

It is an interprime number because it is at equal distance from previous prime (414489419) and next prime (414489421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (414489421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82336 + ... + 87224.

It is an arithmetic number, because the mean of its divisors is an integer number (13520850).

Almost surely, 2^414489420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414489420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649000800).

414489420 is an abundant number, since it is smaller than the sum of its proper divisors (883512180).

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

414489420 is a wasteful number, since it uses less digits than its factorization.

414489420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 414489420 is about 20359.0132373846. The cubic root of 414489420 is about 745.5975686946.

The spelling of 414489420 in words is "four hundred fourteen million, four hundred eighty-nine thousand, four hundred twenty".