400064400 has 240 divisors, whose sum is σ = 1508385600. Its totient is φ = 100362240.

The previous prime is 400064381. The next prime is 400064419. The reversal of 400064400 is 4460004.

It is an interprime number because it is at equal distance from previous prime (400064381) and next prime (400064419).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182511 + ... + 184689.

It is an arithmetic number, because the mean of its divisors is an integer number (6284940).

Almost surely, 2^400064400 is an apocalyptic number.

400064400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754192800).

400064400 is an abundant number, since it is smaller than the sum of its proper divisors (1108321200).

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

400064400 is a wasteful number, since it uses less digits than its factorization.

400064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400064400 is about 20001.6099352027. The cubic root of 400064400 is about 736.8458395443.

The spelling of 400064400 in words is "four hundred million, sixty-four thousand, four hundred".