406944720 has 240 divisors, whose sum is σ = 1682308992. Its totient is φ = 85847040.

The previous prime is 406944709. The next prime is 406944743. The reversal of 406944720 is 27449604.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62415 + ... + 68625.

Almost surely, 2^406944720 is an apocalyptic number.

406944720 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 406944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841154496).

406944720 is an abundant number, since it is smaller than the sum of its proper divisors (1275364272).

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

406944720 is a wasteful number, since it uses less digits than its factorization.

406944720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 406944720 is about 20172.8708913729. The cubic root of 406944720 is about 741.0459521187.

The spelling of 406944720 in words is "four hundred six million, nine hundred forty-four thousand, seven hundred twenty".