406848960 has 504 divisors, whose sum is σ = 1725198480. Its totient is φ = 89994240.

The previous prime is 406848899. The next prime is 406848961. The reversal of 406848960 is 69848604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406848961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13124145 + ... + 13124175.

Almost surely, 2^406848960 is an apocalyptic number.

406848960 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 406848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862599240).

406848960 is an abundant number, since it is smaller than the sum of its proper divisors (1318349520).

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

406848960 is a wasteful number, since it uses less digits than its factorization.

406848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 406848960 is about 20170.4972670482. The cubic root of 406848960 is about 740.9878212688.

The spelling of 406848960 in words is "four hundred six million, eight hundred forty-eight thousand, nine hundred sixty".