400184064 has 216 divisors, whose sum is σ = 1368989440. Its totient is φ = 114213888.

The previous prime is 400184047. The next prime is 400184087. The reversal of 400184064 is 460481004.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434997 + ... + 435915.

Almost surely, 2^400184064 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 400184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684494720).

400184064 is an abundant number, since it is smaller than the sum of its proper divisors (968805376).

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

400184064 is an frugal number, since it uses more digits than its factorization.

400184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400184064 is about 20004.6010707537. The cubic root of 400184064 is about 736.9192986596.

The spelling of 400184064 in words is "four hundred million, one hundred eighty-four thousand, sixty-four".