416640 has 128 divisors (see below), whose sum is σ = 1566720. Its totient is φ = 92160.

The previous prime is 416629. The next prime is 416659. The reversal of 416640 is 46614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

416640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13425 + ... + 13455.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

2⁴¹⁶⁶⁴⁰ is an apocalyptic number.

416640 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 416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360).

416640 is an abundant number, since it is smaller than the sum of its proper divisors (1150080).

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

416640 is a wasteful number, since it uses less digits than its factorization.

416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 416640 is about 645.4765681262. The cubic root of 416640 is about 74.6884856869.

The spelling of 416640 in words is "four hundred sixteen thousand, six hundred forty".