416990000 has 300 divisors, whose sum is σ = 1258584624. Its totient is φ = 133056000.

The previous prime is 416989999. The next prime is 416990003. The reversal of 416990000 is 99614.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (416990003) 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 59 ways as a sum of consecutive naturals, for example, 11269982 + ... + 11270018.

Almost surely, 2^416990000 is an apocalyptic number.

416990000 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 416990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629292312).

416990000 is an abundant number, since it is smaller than the sum of its proper divisors (841594624).

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

416990000 is a wasteful number, since it uses less digits than its factorization.

416990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 416990000 is about 20420.3330041408. Note that the first 3 decimals coincide. The cubic root of 416990000 is about 747.0939394784.

The spelling of 416990000 in words is "four hundred sixteen million, nine hundred ninety thousand".