400504464 has 120 divisors (see below), whose sum is σ = 1155910392. Its totient is φ = 129392640.

The previous prime is 400504463. The next prime is 400504501. The reversal of 400504464 is 464405004.

It can be written as a sum of positive squares in 4 ways, for example, as 69555600 + 330948864 = 8340^2 + 18192^2 .

It is not an unprimeable number, because it can be changed into a prime (400504463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740034 + ... + 740574.

Almost surely, 2^400504464 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 400504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577955196).

400504464 is an abundant number, since it is smaller than the sum of its proper divisors (755405928).

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

400504464 is a wasteful number, since it uses less digits than its factorization.

400504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 400504464 is about 20012.6076261940. The cubic root of 400504464 is about 737.1159131515.

Adding to 400504464 its reverse (464405004), we get a palindrome (864909468).

The spelling of 400504464 in words is "four hundred million, five hundred four thousand, four hundred sixty-four".