414286488 has 480 divisors, whose sum is σ = 1593250560. Its totient is φ = 97511040.

The previous prime is 414286451. The next prime is 414286541. The reversal of 414286488 is 884682414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 18012445 + ... + 18012467.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^414286488 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 414286488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796625280).

414286488 is an abundant number, since it is smaller than the sum of its proper divisors (1178964072).

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

414286488 is a wasteful number, since it uses less digits than its factorization.

414286488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 414286488 is about 20354.0287903894. The cubic root of 414286488 is about 745.4758685192.

The spelling of 414286488 in words is "four hundred fourteen million, two hundred eighty-six thousand, four hundred eighty-eight".