400313664 has 280 divisors, whose sum is σ = 1274600448. Its totient is φ = 124001280.

The previous prime is 400313663. The next prime is 400313699. The reversal of 400313664 is 466313004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400313663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7553062 + ... + 7553114.

Almost surely, 2^400313664 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 400313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637300224).

400313664 is an abundant number, since it is smaller than the sum of its proper divisors (874286784).

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

400313664 is a wasteful number, since it uses less digits than its factorization.

400313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 400313664 is about 20007.8400633352. The cubic root of 400313664 is about 736.9988407519.

Adding to 400313664 its reverse (466313004), we get a palindrome (866626668).

The spelling of 400313664 in words is "four hundred million, three hundred thirteen thousand, six hundred sixty-four".