1025588480 has 144 divisors (see below), whose sum is σ = 2905096320. Its totient is φ = 339419136.

The previous prime is 1025588477. The next prime is 1025588503. The reversal of 1025588480 is 848855201.

It is a happy number.

It is a super-4 number, since 4×1025588480⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257867 + ... + 261813.

It is an arithmetic number, because the mean of its divisors is an integer number (20174280).

Almost surely, 2^1025588480 is an apocalyptic number.

1025588480 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 1025588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452548160).

1025588480 is an abundant number, since it is smaller than the sum of its proper divisors (1879507840).

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

1025588480 is an equidigital number, since it uses as much as digits as its factorization.

1025588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 41.

The square root of 1025588480 is about 32024.8103819523. The cubic root of 1025588480 is about 1008.4577579916.

The spelling of 1025588480 in words is "one billion, twenty-five million, five hundred eighty-eight thousand, four hundred eighty".