401452200 has 120 divisors (see below), whose sum is σ = 1394359230. Its totient is φ = 107049600.

The previous prime is 401452153. The next prime is 401452213. The reversal of 401452200 is 2254104.

401452200 is a `hidden beast` number, since 401 + 45 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 272448036 + 129004164 = 16506^2 + 11358^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×401452200² = 322327737769680000, which contains 22 as substring.

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

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 29 ways as a sum of consecutive naturals, for example, 3810 + ... + 28590.

Almost surely, 2^401452200 is an apocalyptic number.

401452200 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 401452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697179615).

401452200 is an abundant number, since it is smaller than the sum of its proper divisors (992907030).

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

401452200 is a wasteful number, since it uses less digits than its factorization.

401452200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24809 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 401452200 is about 20036.2721083539. The cubic root of 401452200 is about 737.6968812676.

The spelling of 401452200 in words is "four hundred one million, four hundred fifty-two thousand, two hundred".