400513404 has 48 divisors (see below), whose sum is σ = 1004306688. Its totient is φ = 123771648.

The previous prime is 400513381. The next prime is 400513409. The reversal of 400513404 is 404315004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400513409) 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, 984 + ... + 28319.

It is an arithmetic number, because the mean of its divisors is an integer number (20923056).

Almost surely, 2^400513404 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 400513404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502153344).

400513404 is an abundant number, since it is smaller than the sum of its proper divisors (603793284).

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

400513404 is a wasteful number, since it uses less digits than its factorization.

400513404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29394 (or 29392 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 400513404 is about 20012.8309841461. The cubic root of 400513404 is about 737.1213977073.

Adding to 400513404 its reverse (404315004), we get a palindrome (804828408).

The spelling of 400513404 in words is "four hundred million, five hundred thirteen thousand, four hundred four".