425644560 has 240 divisors, whose sum is σ = 1572899328. Its totient is φ = 102297600.

The previous prime is 425644543. The next prime is 425644567. The reversal of 425644560 is 65446524.

425644560 is a `hidden beast` number, since 4 + 2 + 5 + 644 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (425644567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1766040 + ... + 1766280.

Almost surely, 2^425644560 is an apocalyptic number.

425644560 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 425644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786449664).

425644560 is an abundant number, since it is smaller than the sum of its proper divisors (1147254768).

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

425644560 is a wasteful number, since it uses less digits than its factorization.

425644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 425644560 is about 20631.1550815750. The cubic root of 425644560 is about 752.2271929354.

The spelling of 425644560 in words is "four hundred twenty-five million, six hundred forty-four thousand, five hundred sixty".