400608000 has 432 divisors, whose sum is σ = 1566897696. Its totient is φ = 97689600.

The previous prime is 400607993. The next prime is 400608017. The reversal of 400608000 is 806004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743947 + ... + 3744053.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2^400608000 is an apocalyptic number.

400608000 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 400608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783448848).

400608000 is an abundant number, since it is smaller than the sum of its proper divisors (1166289696).

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

400608000 is a wasteful number, since it uses less digits than its factorization.

400608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400608000 is about 20015.1942283856. The cubic root of 400608000 is about 737.1794259331.

It can be divided in two parts, 400 and 608000, that added together give a square (608400 = 780²).

The spelling of 400608000 in words is "four hundred million, six hundred eight thousand".