406380960 has 144 divisors (see below), whose sum is σ = 1419241824. Its totient is φ = 105831936.

The previous prime is 406380913. The next prime is 406380991. The reversal of 406380960 is 69083604.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58639 + ... + 65201.

It is an arithmetic number, because the mean of its divisors is an integer number (9855846).

Almost surely, 2^406380960 is an apocalyptic number.

406380960 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 406380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709620912).

406380960 is an abundant number, since it is smaller than the sum of its proper divisors (1012860864).

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

406380960 is a wasteful number, since it uses less digits than its factorization.

406380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 406380960 is about 20158.8928267403. The cubic root of 406380960 is about 740.7035918308.

The spelling of 406380960 in words is "four hundred six million, three hundred eighty thousand, nine hundred sixty".