400014450 has 288 divisors, whose sum is σ = 1262544192. Its totient is φ = 93312000.

The previous prime is 400014431. The next prime is 400014457. The reversal of 400014450 is 54410004.

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 (400014457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5479614 + ... + 5479686.

It is an arithmetic number, because the mean of its divisors is an integer number (4383834).

Almost surely, 2^400014450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400014450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631272096).

400014450 is an abundant number, since it is smaller than the sum of its proper divisors (862529742).

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

400014450 is a wasteful number, since it uses less digits than its factorization.

400014450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400014450 is about 20000.3612467375. The cubic root of 400014450 is about 736.8151719971.

Adding to 400014450 its reverse (54410004), we get a palindrome (454424454).

The spelling of 400014450 in words is "four hundred million, fourteen thousand, four hundred fifty".