406542240 has 480 divisors, whose sum is σ = 1639249920. Its totient is φ = 94058496.

The previous prime is 406542239. The next prime is 406542251. The reversal of 406542240 is 42245604.

406542240 is a `hidden beast` number, since 4 + 0 + 654 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 3201057 + ... + 3201183.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^406542240 is an apocalyptic number.

406542240 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 406542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819624960).

406542240 is an abundant number, since it is smaller than the sum of its proper divisors (1232707680).

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

406542240 is a wasteful number, since it uses less digits than its factorization.

406542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 406542240 is about 20162.8926496175. The cubic root of 406542240 is about 740.8015662990.

Adding to 406542240 its reverse (42245604), we get a palindrome (448787844).

The spelling of 406542240 in words is "four hundred six million, five hundred forty-two thousand, two hundred forty".