408026160 has 240 divisors, whose sum is σ = 1440741120. Its totient is φ = 107308800.

The previous prime is 408026153. The next prime is 408026167. The reversal of 408026160 is 61620804.

408026160 is a `hidden beast` number, since 40 + 8 + 0 + 2 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (408026153) and next prime (408026167).

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 (27).

It is not an unprimeable number, because it can be changed into a prime (408026167) by changing a digit.

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, 2702085 + ... + 2702235.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^408026160 is an apocalyptic number.

408026160 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 408026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720370560).

408026160 is an abundant number, since it is smaller than the sum of its proper divisors (1032714960).

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

408026160 is a wasteful number, since it uses less digits than its factorization.

408026160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 408026160 is about 20199.6574228376. The cubic root of 408026160 is about 741.7018052339.

Adding to 408026160 its reverse (61620804), we get a palindrome (469646964).

The spelling of 408026160 in words is "four hundred eight million, twenty-six thousand, one hundred sixty".