400028420484 has 405 divisors, whose sum is σ = 1328844007491. Its totient is φ = 101095283520.

The previous prime is 400028420471. The next prime is 400028420513. The reversal of 400028420484 is 484024820004.

The square root of 400028420484 is 632478.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 249422334084 + 150606086400 = 499422^2 + 388080^2 .

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

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 134 ways as a sum of consecutive naturals, for example, 10811578914 + ... + 10811578950.

Almost surely, 2^400028420484 is an apocalyptic number.

400028420484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

400028420484 is the 632478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400028420484

400028420484 is an abundant number, since it is smaller than the sum of its proper divisors (928815587007).

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

400028420484 is an equidigital number, since it uses as much as digits as its factorization.

400028420484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Multiplying 400028420484 by its sum of digits (36), we get a square (14401023137424 = 3794868²).

400028420484 divided by its sum of digits (36) gives a square (11111900569 = 105413²).

The spelling of 400028420484 in words is "four hundred billion, twenty-eight million, four hundred twenty thousand, four hundred eighty-four".