416925000 has 288 divisors, whose sum is σ = 1508106600. Its totient is φ = 103680000.

The previous prime is 416924971. The next prime is 416925029. The reversal of 416925000 is 529614.

It is an interprime number because it is at equal distance from previous prime (416924971) and next prime (416925029).

It can be written as a sum of positive squares in 12 ways, for example, as 95296644 + 321628356 = 9762^2 + 17934^2 .

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3824946 + ... + 3825054.

Almost surely, 2^416925000 is an apocalyptic number.

416925000 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 416925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754053300).

416925000 is an abundant number, since it is smaller than the sum of its proper divisors (1091181600).

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

416925000 is a wasteful number, since it uses less digits than its factorization.

416925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 416925000 is about 20418.7413911828. The cubic root of 416925000 is about 747.0551186997.

The spelling of 416925000 in words is "four hundred sixteen million, nine hundred twenty-five thousand".