400255200 has 216 divisors, whose sum is σ = 1473374448. Its totient is φ = 102051840.

The previous prime is 400255199. The next prime is 400255201. The reversal of 400255200 is 2552004.

It is an interprime number because it is at equal distance from previous prime (400255199) and next prime (400255201).

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 (400255201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164392 + ... + 166808.

It is an arithmetic number, because the mean of its divisors is an integer number (6821178).

Almost surely, 2^400255200 is an apocalyptic number.

400255200 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 400255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736687224).

400255200 is an abundant number, since it is smaller than the sum of its proper divisors (1073119248).

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

400255200 is a wasteful number, since it uses less digits than its factorization.

400255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 400255200 is about 20006.3789827145. The cubic root of 400255200 is about 736.9629605560.

The spelling of 400255200 in words is "four hundred million, two hundred fifty-five thousand, two hundred".