416745000 has 480 divisors, whose sum is σ = 1705704000. Its totient is φ = 95256000.

The previous prime is 416744983. The next prime is 416745013. The reversal of 416745000 is 547614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 59534997 + ... + 59535003.

It is an arithmetic number, because the mean of its divisors is an integer number (3553550).

Almost surely, 2^416745000 is an apocalyptic number.

416745000 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 416745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852852000).

416745000 is an abundant number, since it is smaller than the sum of its proper divisors (1288959000).

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

416745000 is an frugal number, since it uses more digits than its factorization.

416745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 416745000 is about 20414.3331999848. Note that the first 3 decimals coincide. The cubic root of 416745000 is about 746.9475939429.

The spelling of 416745000 in words is "four hundred sixteen million, seven hundred forty-five thousand".