406401120 has 144 divisors (see below), whose sum is σ = 1392431040. Its totient is φ = 107937792.

The previous prime is 406401101. The next prime is 406401131. The reversal of 406401120 is 21104604.

406401120 is a `hidden beast` number, since 4 + 0 + 640 + 1 + 1 + 20 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 406401093 and 406401102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528096 + ... + 528864.

It is an arithmetic number, because the mean of its divisors is an integer number (9669660).

Almost surely, 2^406401120 is an apocalyptic number.

406401120 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 406401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696215520).

406401120 is an abundant number, since it is smaller than the sum of its proper divisors (986029920).

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

406401120 is a wasteful number, since it uses less digits than its factorization.

406401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 406401120 is about 20159.3928480002. The cubic root of 406401120 is about 740.7158400568.

Adding to 406401120 its reverse (21104604), we get a palindrome (427505724).

The spelling of 406401120 in words is "four hundred six million, four hundred one thousand, one hundred twenty".