416490000 has 100 divisors (see below), whose sum is σ = 1344582096. Its totient is φ = 111056000.

The previous prime is 416489993. The next prime is 416490043. The reversal of 416490000 is 94614.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23059 + ... + 36941.

Almost surely, 2^416490000 is an apocalyptic number.

416490000 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 416490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672291048).

416490000 is an abundant number, since it is smaller than the sum of its proper divisors (928092096).

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

416490000 is a wasteful number, since it uses less digits than its factorization.

416490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 416490000 is about 20408.0866325092. The cubic root of 416490000 is about 746.7952141914.

The spelling of 416490000 in words is "four hundred sixteen million, four hundred ninety thousand".