425444400 has 210 divisors, whose sum is σ = 1533544580. Its totient is φ = 113374080.

The previous prime is 425444399. The next prime is 425444417. The reversal of 425444400 is 4444524.

It is a happy number.

425444400 is a `hidden beast` number, since 4 + 254 + 4 + 4 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 290871 + ... + 292329.

Almost surely, 2^425444400 is an apocalyptic number.

425444400 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 425444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766772290).

425444400 is an abundant number, since it is smaller than the sum of its proper divisors (1108100180).

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

425444400 is a wasteful number, since it uses less digits than its factorization.

425444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 425444400 is about 20626.3035951670. The cubic root of 425444400 is about 752.1092624549.

Adding to 425444400 its reverse (4444524), we get a palindrome (429888924).

The spelling of 425444400 in words is "four hundred twenty-five million, four hundred forty-four thousand, four hundred".