400387680 has 576 divisors, whose sum is σ = 1788853248. Its totient is φ = 79073280.

The previous prime is 400387679. The next prime is 400387709. The reversal of 400387680 is 86783004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2550162 + ... + 2550318.

It is an arithmetic number, because the mean of its divisors is an integer number (3105648).

Almost surely, 2^400387680 is an apocalyptic number.

400387680 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 400387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894426624).

400387680 is an abundant number, since it is smaller than the sum of its proper divisors (1388465568).

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

400387680 is a wasteful number, since it uses less digits than its factorization.

400387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 400387680 is about 20009.6896527657. The cubic root of 400387680 is about 737.0442604227.

The spelling of 400387680 in words is "four hundred million, three hundred eighty-seven thousand, six hundred eighty".