401601600 has 189 divisors, whose sum is σ = 1435985317. Its totient is φ = 106452480.

The previous prime is 401601593. The next prime is 401601611. The reversal of 401601600 is 6106104.

The square root of 401601600 is 20040.

It is a perfect power (a square), and thus also a powerful number.

401601600 is a `hidden beast` number, since 4 + 0 + 1 + 60 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144576576 + 257025024 = 12024^2 + 16032^2 .

It is a super-2 number, since 2×401601600² = 322567690245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2404717 + ... + 2404883.

Almost surely, 2^401601600 is an apocalyptic number.

401601600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

401601600 is the 20040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401601600

401601600 is an abundant number, since it is smaller than the sum of its proper divisors (1034383717).

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

401601600 is a wasteful number, since it uses less digits than its factorization.

401601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 401601600 is about 737.7883809490.

Multiplying 401601600 by its product of nonzero digits (144), we get a square (57830630400 = 240480²).

401601600 divided by its product of nonzero digits (144) gives a square (2788900 = 1670²).

Adding to 401601600 its reverse (6106104), we get a palindrome (407707704).

The spelling of 401601600 in words is "four hundred one million, six hundred one thousand, six hundred".