400231200 has 288 divisors, whose sum is σ = 1402410240. Its totient is φ = 98841600.

The previous prime is 400231177. The next prime is 400231213. The reversal of 400231200 is 2132004.

It is a super-3 number, since 3×400231200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055135 + ... + 3055265.

It is an arithmetic number, because the mean of its divisors is an integer number (4869480).

Almost surely, 2^400231200 is an apocalyptic number.

400231200 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 400231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701205120).

400231200 is an abundant number, since it is smaller than the sum of its proper divisors (1002179040).

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

400231200 is a wasteful number, since it uses less digits than its factorization.

400231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400231200 is about 20005.7791650313. The cubic root of 400231200 is about 736.9482304000.

Adding to 400231200 its reverse (2132004), we get a palindrome (402363204).

The spelling of 400231200 in words is "four hundred million, two hundred thirty-one thousand, two hundred".