400516704 has 192 divisors, whose sum is σ = 1364428800. Its totient is φ = 111919104.

The previous prime is 400516703. The next prime is 400516717. The reversal of 400516704 is 407615004.

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 (400516703) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 283552 + ... + 284960.

It is an arithmetic number, because the mean of its divisors is an integer number (7106400).

Almost surely, 2^400516704 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 400516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682214400).

400516704 is an abundant number, since it is smaller than the sum of its proper divisors (963912096).

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

400516704 is a wasteful number, since it uses less digits than its factorization.

400516704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 400516704 is about 20012.9134310824. The cubic root of 400516704 is about 737.1234221871.

The spelling of 400516704 in words is "four hundred million, five hundred sixteen thousand, seven hundred four".