425040000 has 640 divisors, whose sum is σ = 1835412480. Its totient is φ = 84480000.

The previous prime is 425039999. The next prime is 425040041. The reversal of 425040000 is 40524.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479989 + ... + 18480011.

It is an arithmetic number, because the mean of its divisors is an integer number (2867832).

Almost surely, 2^425040000 is an apocalyptic number.

425040000 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 425040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917706240).

425040000 is an abundant number, since it is smaller than the sum of its proper divisors (1410372480).

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

425040000 is a wasteful number, since it uses less digits than its factorization.

425040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 425040000 is about 20616.4982477626. The cubic root of 425040000 is about 751.8708847287.

Adding to 425040000 its reverse (40524), we get a palindrome (425080524).

The spelling of 425040000 in words is "four hundred twenty-five million, forty thousand".