401542200 has 288 divisors, whose sum is σ = 1450800000. Its totient is φ = 99221760.

The previous prime is 401542177. The next prime is 401542201. The reversal of 401542200 is 2245104.

It is a super-2 number, since 2×401542200² = 322472276761680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401542201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017701 + ... + 2017899.

It is an arithmetic number, because the mean of its divisors is an integer number (5037500).

Almost surely, 2^401542200 is an apocalyptic number.

401542200 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 401542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725400000).

401542200 is an abundant number, since it is smaller than the sum of its proper divisors (1049257800).

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

401542200 is a wasteful number, since it uses less digits than its factorization.

401542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

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

The square root of 401542200 is about 20038.5179092666. The cubic root of 401542200 is about 737.7520042756.

Adding to 401542200 its reverse (2245104), we get a palindrome (403787304).

The spelling of 401542200 in words is "four hundred one million, five hundred forty-two thousand, two hundred".