401600000 has 120 divisors (see below), whose sum is σ = 1006951176. Its totient is φ = 160000000.

The previous prime is 401599973. The next prime is 401600011. The reversal of 401600000 is 6104.

It is a super-2 number, since 2×401600000² = 322565120000000000, which contains 22 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 1599875 + ... + 1600125.

Almost surely, 2^401600000 is an apocalyptic number.

401600000 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 401600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503475588).

401600000 is an abundant number, since it is smaller than the sum of its proper divisors (605351176).

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

401600000 is an frugal number, since it uses more digits than its factorization.

401600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 401600000 is about 20039.9600798006. The cubic root of 401600000 is about 737.7874011529.

Adding to 401600000 its reverse (6104), we get a palindrome (401606104).

It can be divided in two parts, 40 and 1600000, that multiplied together give a 6-th power (64000000 = 20⁶).

The spelling of 401600000 in words is "four hundred one million, six hundred thousand".