400005200 has 120 divisors (see below), whose sum is σ = 1104119808. Its totient is φ = 136419840.

The previous prime is 400005173. The next prime is 400005211. The reversal of 400005200 is 2500004.

400005200 is a modest number, since divided by 5200 gives 400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044209 + ... + 1044591.

Almost surely, 2^400005200 is an apocalyptic number.

400005200 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 400005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552059904).

400005200 is an abundant number, since it is smaller than the sum of its proper divisors (704114608).

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

400005200 is a wasteful number, since it uses less digits than its factorization.

400005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 400005200 is about 20000.1299995775. The cubic root of 400005200 is about 736.8094925415.

Adding to 400005200 its reverse (2500004), we get a palindrome (402505204).

The spelling of 400005200 in words is "four hundred million, five thousand, two hundred".