400080384 has 200 divisors, whose sum is σ = 1304177688. Its totient is φ = 121098240.

The previous prime is 400080379. The next prime is 400080391. The reversal of 400080384 is 483080004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455754 + ... + 456630.

Almost surely, 2^400080384 is an apocalyptic number.

400080384 is a gapful number since it is divisible by the number (44) 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 400080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652088844).

400080384 is an abundant number, since it is smaller than the sum of its proper divisors (904097304).

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

400080384 is an equidigital number, since it uses as much as digits as its factorization.

400080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400080384 is about 20002.0094990478. The cubic root of 400080384 is about 736.8556526202.

The spelling of 400080384 in words is "four hundred million, eighty thousand, three hundred eighty-four".