1025259480 has 192 divisors, whose sum is σ = 3821126400. Its totient is φ = 233544960.

The previous prime is 1025259479. The next prime is 1025259493. The reversal of 1025259480 is 849525201.

1025259480 is a `hidden beast` number, since 10 + 2 + 52 + 594 + 8 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055395 + ... + 1056365.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^1025259480 is an apocalyptic number.

1025259480 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 1025259480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910563200).

1025259480 is an abundant number, since it is smaller than the sum of its proper divisors (2795866920).

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

1025259480 is a wasteful number, since it uses less digits than its factorization.

1025259480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1025259480 is about 32019.6733275029. The cubic root of 1025259480 is about 1008.3499115883.

The spelling of 1025259480 in words is "one billion, twenty-five million, two hundred fifty-nine thousand, four hundred eighty".