400214100 has 288 divisors, whose sum is σ = 1434908160. Its totient is φ = 84672000.

The previous prime is 400214093. The next prime is 400214137. The reversal of 400214100 is 1412004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 814855 + ... + 815345.

It is an arithmetic number, because the mean of its divisors is an integer number (4982320).

Almost surely, 2^400214100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717454080).

400214100 is an abundant number, since it is smaller than the sum of its proper divisors (1034694060).

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

400214100 is a wasteful number, since it uses less digits than its factorization.

400214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400214100 is about 20005.3517839602. The cubic root of 400214100 is about 736.9377348046.

Adding to 400214100 its reverse (1412004), we get a palindrome (401626104).

The spelling of 400214100 in words is "four hundred million, two hundred fourteen thousand, one hundred".