400465536 has 128 divisors (see below), whose sum is σ = 1105843200. Its totient is φ = 128314368.

The previous prime is 400465531. The next prime is 400465537. The reversal of 400465536 is 635564004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 400465497 and 400465506.

It is not an unprimeable number, because it can be changed into a prime (400465531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304295 + ... + 1304601.

It is an arithmetic number, because the mean of its divisors is an integer number (8639400).

Almost surely, 2^400465536 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 400465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552921600).

400465536 is an abundant number, since it is smaller than the sum of its proper divisors (705377664).

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

400465536 is a wasteful number, since it uses less digits than its factorization.

400465536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 400465536 is about 20011.6350156603. The cubic root of 400465536 is about 737.0920304564.

The spelling of 400465536 in words is "four hundred million, four hundred sixty-five thousand, five hundred thirty-six".