400799616 has 256 divisors, whose sum is σ = 1321920000. Its totient is φ = 107175936.

The previous prime is 400799611. The next prime is 400799647. The reversal of 400799616 is 616997004.

It is a super-3 number, since 3×400799616³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400799611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239015 + ... + 2239193.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2^400799616 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 400799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

400799616 is an abundant number, since it is smaller than the sum of its proper divisors (921120384).

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

400799616 is a wasteful number, since it uses less digits than its factorization.

400799616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 400799616 is about 20019.9804195708. The cubic root of 400799616 is about 737.2969413576.

The spelling of 400799616 in words is "four hundred million, seven hundred ninety-nine thousand, six hundred sixteen".