425443107600 has 405 divisors, whose sum is σ = 1718558205663. Its totient is φ = 97181521920.

The previous prime is 425443107577. The next prime is 425443107619. The reversal of 425443107600 is 6701344524.

The square root of 425443107600 is 652260.

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

425443107600 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 43 + 1 + 0 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136790501904 + 288652605696 = 369852^2 + 537264^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 273948424 + ... + 273949976.

Almost surely, 2^425443107600 is an apocalyptic number.

425443107600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

425443107600 is the 652260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425443107600

425443107600 is an abundant number, since it is smaller than the sum of its proper divisors (1293115098063).

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

425443107600 is a wasteful number, since it uses less digits than its factorization.

425443107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 425443107600 by its sum of digits (36), we get a square (15315951873600 = 3913560²).

425443107600 divided by its sum of digits (36) gives a square (11817864100 = 108710²).

The spelling of 425443107600 in words is "four hundred twenty-five billion, four hundred forty-three million, one hundred seven thousand, six hundred".