416125000 has 56 divisors (see below), whose sum is σ = 975573450. Its totient is φ = 166400000.

The previous prime is 416124991. The next prime is 416125001. The reversal of 416125000 is 521614.

It can be written as a sum of positive squares in 7 ways, for example, as 244672164 + 171452836 = 15642^2 + 13094^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416125001) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 123336 + ... + 126664.

Almost surely, 2^416125000 is an apocalyptic number.

416125000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487786725).

416125000 is an abundant number, since it is smaller than the sum of its proper divisors (559448450).

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

416125000 is an frugal number, since it uses more digits than its factorization.

416125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 416125000 is about 20399.1421388253. The cubic root of 416125000 is about 746.5769937306.

Adding to 416125000 its reverse (521614), we get a palindrome (416646614).

It can be divided in two parts, 4161 and 25000, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 416125000 in words is "four hundred sixteen million, one hundred twenty-five thousand".