406891120 has 80 divisors (see below), whose sum is σ = 982794240. Its totient is φ = 156499200.

The previous prime is 406891063. The next prime is 406891127. The reversal of 406891120 is 21198604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406891127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473251 + ... + 474109.

It is an arithmetic number, because the mean of its divisors is an integer number (12284928).

Almost surely, 2^406891120 is an apocalyptic number.

406891120 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 406891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491397120).

406891120 is an abundant number, since it is smaller than the sum of its proper divisors (575903120).

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

406891120 is a wasteful number, since it uses less digits than its factorization.

406891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 406891120 is about 20171.5423307193. The cubic root of 406891120 is about 741.0134155069.

The spelling of 406891120 in words is "four hundred six million, eight hundred ninety-one thousand, one hundred twenty".