401523200 has 240 divisors, whose sum is σ = 1136593920. Its totient is φ = 139345920.

The previous prime is 401523197. The next prime is 401523211. The reversal of 401523200 is 2325104.

It is a super-2 number, since 2×401523200² = 322441760276480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161537 + ... + 3161663.

It is an arithmetic number, because the mean of its divisors is an integer number (4735808).

Almost surely, 2^401523200 is an apocalyptic number.

401523200 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 401523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568296960).

401523200 is an abundant number, since it is smaller than the sum of its proper divisors (735070720).

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

401523200 is a wasteful number, since it uses less digits than its factorization.

401523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 401523200 is about 20038.0438167003. The cubic root of 401523200 is about 737.7403678821.

Adding to 401523200 its reverse (2325104), we get a palindrome (403848304).

The spelling of 401523200 in words is "four hundred one million, five hundred twenty-three thousand, two hundred".