406321920 has 180 divisors, whose sum is σ = 1454265120. Its totient is φ = 108324864.

The previous prime is 406321873. The next prime is 406321939. The reversal of 406321920 is 29123604.

406321920 is a `hidden beast` number, since 4 + 0 + 632 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101721 + ... + 105639.

Almost surely, 2^406321920 is an apocalyptic number.

406321920 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 406321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727132560).

406321920 is an abundant number, since it is smaller than the sum of its proper divisors (1047943200).

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

406321920 is an equidigital number, since it uses as much as digits as its factorization.

406321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406321920 is about 20157.4284074135. The cubic root of 406321920 is about 740.6677196958.

The spelling of 406321920 in words is "four hundred six million, three hundred twenty-one thousand, nine hundred twenty".