416451252 has 48 divisors (see below), whose sum is σ = 1148837760. Its totient is φ = 114882432.

The previous prime is 416451239. The next prime is 416451257. The reversal of 416451252 is 252154614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416451257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83043 + ... + 87914.

It is an arithmetic number, because the mean of its divisors is an integer number (23934120).

Almost surely, 2^416451252 is an apocalyptic number.

416451252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

416451252 is an abundant number, since it is smaller than the sum of its proper divisors (732386508).

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

416451252 is a wasteful number, since it uses less digits than its factorization.

416451252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171000 (or 170998 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 416451252 is about 20407.1372808633. The cubic root of 416451252 is about 746.7720541969.

The spelling of 416451252 in words is "four hundred sixteen million, four hundred fifty-one thousand, two hundred fifty-two".