400642050 has 48 divisors (see below), whose sum is σ = 999400320. Its totient is φ = 106213440.

The previous prime is 400642049. The next prime is 400642057. The reversal of 400642050 is 50246004.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400642057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18231 + ... + 33669.

It is an arithmetic number, because the mean of its divisors is an integer number (20820840).

Almost surely, 2^400642050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400642050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499700160).

400642050 is an abundant number, since it is smaller than the sum of its proper divisors (598758270).

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

400642050 is a wasteful number, since it uses less digits than its factorization.

400642050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627 (or 15622 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 400642050 is about 20016.0448140985. The cubic root of 400642050 is about 737.2003110613.

Adding to 400642050 its reverse (50246004), we get a palindrome (450888054).

It can be divided in two parts, 4006 and 42050, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 400642050 in words is "four hundred million, six hundred forty-two thousand, fifty".