400384500 has 96 divisors (see below), whose sum is σ = 1171183104. Its totient is φ = 106288000.

The previous prime is 400384471. The next prime is 400384507. The reversal of 400384500 is 5483004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400384507) 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, 439045 + ... + 439955.

It is an arithmetic number, because the mean of its divisors is an integer number (12199824).

Almost surely, 2^400384500 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 400384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

400384500 is an abundant number, since it is smaller than the sum of its proper divisors (770798604).

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

400384500 is a wasteful number, since it uses less digits than its factorization.

400384500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 400384500 is about 20009.6101911057. The cubic root of 400384500 is about 737.0423091414.

The spelling of 400384500 in words is "four hundred million, three hundred eighty-four thousand, five hundred".