401335400 has 24 divisors (see below), whose sum is σ = 933105270. Its totient is φ = 160534080.

The previous prime is 401335343. The next prime is 401335447. The reversal of 401335400 is 4533104.

It can be written as a sum of positive squares in 3 ways, for example, as 326235844 + 75099556 = 18062^2 + 8666^2 .

It is a super-2 number, since 2×401335400² = 322140206586320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 1003139 + ... + 1003538.

Almost surely, 2^401335400 is an apocalyptic number.

401335400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401335400 is an abundant number, since it is smaller than the sum of its proper divisors (531769870).

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

401335400 is a wasteful number, since it uses less digits than its factorization.

401335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006693 (or 2006684 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 401335400 is about 20033.3571824595. The cubic root of 401335400 is about 737.6253315678.

Adding to 401335400 its reverse (4533104), we get a palindrome (405868504).

The spelling of 401335400 in words is "four hundred one million, three hundred thirty-five thousand, four hundred".