160400520 has 256 divisors, whose sum is σ = 624960000. Its totient is φ = 36578304.

The previous prime is 160400509. The next prime is 160400533. The reversal of 160400520 is 25004061.

It is a happy number.

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 = 160400493 and 160400502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370224 + ... + 370656.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 2^160400520 is an apocalyptic number.

160400520 is a gapful number since it is divisible by the number (10) 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 160400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000).

160400520 is an abundant number, since it is smaller than the sum of its proper divisors (464559480).

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

160400520 is a wasteful number, since it uses less digits than its factorization.

160400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 160400520 is about 12664.9326883328. The cubic root of 160400520 is about 543.3361369204.

Adding to 160400520 its reverse (25004061), we get a palindrome (185404581).

The spelling of 160400520 in words is "one hundred sixty million, four hundred thousand, five hundred twenty".