400216464 has 50 divisors (see below), whose sum is σ = 1158346310. Its totient is φ = 133405056.

The previous prime is 400216451. The next prime is 400216469. The reversal of 400216464 is 464612004.

400216464 is a `hidden beast` number, since 400 + 216 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 399200400 + 1016064 = 19980^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400216469) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153109 + ... + 155700.

Almost surely, 2^400216464 is an apocalyptic number.

It is an amenable number.

400216464 is an abundant number, since it is smaller than the sum of its proper divisors (758129846).

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

400216464 is a wasteful number, since it uses less digits than its factorization.

400216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308829 (or 308814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 400216464 is about 20005.4108680627. The cubic root of 400216464 is about 736.9391857925.

Adding to 400216464 its reverse (464612004), we get a palindrome (864828468).

The spelling of 400216464 in words is "four hundred million, two hundred sixteen thousand, four hundred sixty-four".