478421222400 has 891 divisors, whose sum is σ = 1897338726829. Its totient is φ = 115095552000.

The previous prime is 478421222329. The next prime is 478421222519. The reversal of 478421222400 is 4222124874.

The square root of 478421222400 is 691680.

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

478421222400 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 21 + 222 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172231640064 + 306189582336 = 415008^2 + 553344^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3652070335 + ... + 3652070465.

Almost surely, 2^478421222400 is an apocalyptic number.

478421222400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

478421222400 is the 691680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478421222400

478421222400 is an abundant number, since it is smaller than the sum of its proper divisors (1418917504429).

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

478421222400 is a wasteful number, since it uses less digits than its factorization.

478421222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Multiplying 478421222400 by its sum of digits (36), we get a square (17223164006400 = 4150080²).

478421222400 divided by its sum of digits (36) gives a square (13289478400 = 115280²).

The spelling of 478421222400 in words is "four hundred seventy-eight billion, four hundred twenty-one million, two hundred twenty-two thousand, four hundred".