400584960 has 288 divisors, whose sum is σ = 1451076480. Its totient is φ = 104620032.

The previous prime is 400584953. The next prime is 400584967. The reversal of 400584960 is 69485004.

It is an interprime number because it is at equal distance from previous prime (400584953) and next prime (400584967).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (400584967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315434 + ... + 2315606.

It is an arithmetic number, because the mean of its divisors is an integer number (5038460).

Almost surely, 2^400584960 is an apocalyptic number.

400584960 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 400584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725538240).

400584960 is an abundant number, since it is smaller than the sum of its proper divisors (1050491520).

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

400584960 is a wasteful number, since it uses less digits than its factorization.

400584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 400584960 is about 20014.6186573714. The cubic root of 400584960 is about 737.1652932984.

The spelling of 400584960 in words is "four hundred million, five hundred eighty-four thousand, nine hundred sixty".