401125200 has 360 divisors, whose sum is σ = 1584773568. Its totient is φ = 84664320.

The previous prime is 401125171. The next prime is 401125223. The reversal of 401125200 is 2521104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401125200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7568374 + ... + 7568426.

Almost surely, 2^401125200 is an apocalyptic number.

401125200 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 401125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792386784).

401125200 is an abundant number, since it is smaller than the sum of its proper divisors (1183648368).

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

401125200 is a wasteful number, since it uses less digits than its factorization.

401125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 401125200 is about 20028.1102453527. The cubic root of 401125200 is about 737.4965316317.

Adding to 401125200 its reverse (2521104), we get a palindrome (403646304).

The spelling of 401125200 in words is "four hundred one million, one hundred twenty-five thousand, two hundred".