414527484 has 96 divisors (see below), whose sum is σ = 1170892800. Its totient is φ = 111499200.

The previous prime is 414527461. The next prime is 414527489. The reversal of 414527484 is 484725414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414527489) 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, 284959 + ... + 286409.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^414527484 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 414527484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

414527484 is an abundant number, since it is smaller than the sum of its proper divisors (756365316).

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

414527484 is a wasteful number, since it uses less digits than its factorization.

414527484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1661 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 414527484 is about 20359.9480352971. The cubic root of 414527484 is about 745.6203915989.

The spelling of 414527484 in words is "four hundred fourteen million, five hundred twenty-seven thousand, four hundred eighty-four".