400847616 has 180 divisors, whose sum is σ = 1288063392. Its totient is φ = 123254784.

The previous prime is 400847581. The next prime is 400847621. The reversal of 400847616 is 616748004.

It is a super-2 number, since 2×400847616² = 321357622505766912, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 268825 + ... + 270311.

Almost surely, 2^400847616 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 400847616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644031696).

400847616 is an abundant number, since it is smaller than the sum of its proper divisors (887215776).

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

400847616 is a wasteful number, since it uses less digits than its factorization.

400847616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 400847616 is about 20021.1791860520. The cubic root of 400847616 is about 737.3263732225.

The spelling of 400847616 in words is "four hundred million, eight hundred forty-seven thousand, six hundred sixteen".