400793600 has 168 divisors, whose sum is σ = 1056375840. Its totient is φ = 150405120.

The previous prime is 400793599. The next prime is 400793609. The reversal of 400793600 is 6397004.

It is not an unprimeable number, because it can be changed into a prime (400793609) 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 11 ways as a sum of consecutive naturals, for example, 3891149 + ... + 3891251.

Almost surely, 2^400793600 is an apocalyptic number.

400793600 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 400793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528187920).

400793600 is an abundant number, since it is smaller than the sum of its proper divisors (655582240).

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

400793600 is a wasteful number, since it uses less digits than its factorization.

400793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 400793600 is about 20019.8301691098. The cubic root of 400793600 is about 737.2932523981.

The spelling of 400793600 in words is "four hundred million, seven hundred ninety-three thousand, six hundred".