425984000 has 152 divisors (see below), whose sum is σ = 1145042808. Its totient is φ = 157286400.

The previous prime is 425983991. The next prime is 425984017. The reversal of 425984000 is 489524.

It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 358875136 = 8192^2 + 18944^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32767994 + ... + 32768006.

Almost surely, 2^425984000 is an apocalyptic number.

425984000 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 425984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572521404).

425984000 is an abundant number, since it is smaller than the sum of its proper divisors (719058808).

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

425984000 is an frugal number, since it uses more digits than its factorization.

425984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 425984000 is about 20639.3798356443. The cubic root of 425984000 is about 752.4271000706.

The spelling of 425984000 in words is "four hundred twenty-five million, nine hundred eighty-four thousand".