406960000 has 80 divisors (see below), whose sum is σ = 1013300640. Its totient is φ = 162752000.

The previous prime is 406959997. The next prime is 406960027. The reversal of 406960000 is 69604.

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 (25).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 77457 + ... + 82543.

It is an arithmetic number, because the mean of its divisors is an integer number (12666258).

Almost surely, 2^406960000 is an apocalyptic number.

406960000 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 406960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506650320).

406960000 is an abundant number, since it is smaller than the sum of its proper divisors (606340640).

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

406960000 is an frugal number, since it uses more digits than its factorization.

406960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 406960000 is about 20173.2496142788. The cubic root of 406960000 is about 741.0552269578.

The spelling of 406960000 in words is "four hundred six million, nine hundred sixty thousand".