1025458560 has 384 divisors, whose sum is σ = 4191220800. Its totient is φ = 226050048.

The previous prime is 1025458537. The next prime is 1025458571. The reversal of 1025458560 is 658545201.

1025458560 is a `hidden beast` number, since 10 + 2 + 5 + 4 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 1168842 + ... + 1169718.

Almost surely, 2^1025458560 is an apocalyptic number.

1025458560 is a gapful number since it is divisible by the number (10) 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 1025458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095610400).

1025458560 is an abundant number, since it is smaller than the sum of its proper divisors (3165762240).

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

1025458560 is a wasteful number, since it uses less digits than its factorization.

1025458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1025458560 is about 32022.7818903980. The cubic root of 1025458560 is about 1008.4151728913.

The spelling of 1025458560 in words is "one billion, twenty-five million, four hundred fifty-eight thousand, five hundred sixty".