416055000 has 80 divisors (see below), whose sum is σ = 1299802680. Its totient is φ = 110944000.

The previous prime is 416054963. The next prime is 416055023. The reversal of 416055000 is 550614.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1132 + ... + 28868.

Almost surely, 2^416055000 is an apocalyptic number.

416055000 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 416055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649901340).

416055000 is an abundant number, since it is smaller than the sum of its proper divisors (883747680).

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

416055000 is a wasteful number, since it uses less digits than its factorization.

416055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27766 (or 27747 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 416055000 is about 20397.4263082380. The cubic root of 416055000 is about 746.5351286498.

The spelling of 416055000 in words is "four hundred sixteen million, fifty-five thousand".