401252200 has 48 divisors (see below), whose sum is σ = 936056160. Its totient is φ = 159960000.

The previous prime is 401252191. The next prime is 401252209. The reversal of 401252200 is 2252104.

It is an interprime number because it is at equal distance from previous prime (401252191) and next prime (401252209).

It is a super-2 number, since 2×401252200² = 322006656009680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401252209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58975 + ... + 65425.

It is an arithmetic number, because the mean of its divisors is an integer number (19501170).

Almost surely, 2^401252200 is an apocalyptic number.

401252200 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 401252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468028080).

401252200 is an abundant number, since it is smaller than the sum of its proper divisors (534803960).

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

401252200 is a wasteful number, since it uses less digits than its factorization.

401252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 401252200 is about 20031.2805381983. The cubic root of 401252200 is about 737.5743561916.

The spelling of 401252200 in words is "four hundred one million, two hundred fifty-two thousand, two hundred".