425597760 has 448 divisors, whose sum is σ = 1779056640. Its totient is φ = 93726720.

The previous prime is 425597759. The next prime is 425597807. The reversal of 425597760 is 67795524.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×425597760² = 362266906634035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1874767 + ... + 1874993.

Almost surely, 2^425597760 is an apocalyptic number.

425597760 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 425597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889528320).

425597760 is an abundant number, since it is smaller than the sum of its proper divisors (1353458880).

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

425597760 is a wasteful number, since it uses less digits than its factorization.

425597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 425597760 is about 20630.0208434214. The cubic root of 425597760 is about 752.1996225740.

The spelling of 425597760 in words is "four hundred twenty-five million, five hundred ninety-seven thousand, seven hundred sixty".