425920000 has 200 divisors, whose sum is σ = 1169681832. Its totient is φ = 154880000.

The previous prime is 425919971. The next prime is 425920009. The reversal of 425920000 is 29524.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425920009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38719995 + ... + 38720005.

Almost surely, 2^425920000 is an apocalyptic number.

425920000 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 425920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584840916).

425920000 is an abundant number, since it is smaller than the sum of its proper divisors (743761832).

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

425920000 is an frugal number, since it uses more digits than its factorization.

425920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 425920000 is about 20637.8293432231. The cubic root of 425920000 is about 752.3894165377.

Multiplying 425920000 by its sum of digits (22), we get a square (9370240000 = 96800²).

425920000 divided by its sum of digits (22) gives a square (19360000 = 4400²).

Adding to 425920000 its reverse (29524), we get a palindrome (425949524).

The spelling of 425920000 in words is "four hundred twenty-five million, nine hundred twenty thousand".