416661000 has 128 divisors (see below), whose sum is σ = 1485768960. Its totient is φ = 95232000.

The previous prime is 416660999. The next prime is 416661017. The reversal of 416661000 is 166614.

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 31 ways as a sum of consecutive naturals, for example, 11080 + ... + 30920.

It is an arithmetic number, because the mean of its divisors is an integer number (11607570).

Almost surely, 2^416661000 is an apocalyptic number.

416661000 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 416661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742884480).

416661000 is an abundant number, since it is smaller than the sum of its proper divisors (1069107960).

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

416661000 is a wasteful number, since it uses less digits than its factorization.

416661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19872 (or 19858 counting only the distinct ones).

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

The square root of 416661000 is about 20412.2757183025. The cubic root of 416661000 is about 746.8974051273.

The spelling of 416661000 in words is "four hundred sixteen million, six hundred sixty-one thousand".