400416450 has 96 divisors (see below), whose sum is σ = 1194685440. Its totient is φ = 86702400.

The previous prime is 400416449. The next prime is 400416493. The reversal of 400416450 is 54614004.

It is a super-3 number, since 3×400416450³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400416450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9915 + ... + 29985.

It is an arithmetic number, because the mean of its divisors is an integer number (12444640).

Almost surely, 2^400416450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400416450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597342720).

400416450 is an abundant number, since it is smaller than the sum of its proper divisors (794268990).

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

400416450 is a wasteful number, since it uses less digits than its factorization.

400416450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20112 (or 20107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 400416450 is about 20010.4085415566. The cubic root of 400416450 is about 737.0619135262.

The spelling of 400416450 in words is "four hundred million, four hundred sixteen thousand, four hundred fifty".