1025249280 has 416 divisors, whose sum is σ = 3764976768. Its totient is φ = 235929600.

The previous prime is 1025249237. The next prime is 1025249333. The reversal of 1025249280 is 829425201.

It is a super-2 number, since 2×1025249280² = 2102272172281036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25006060 + ... + 25006100.

Almost surely, 2^1025249280 is an apocalyptic number.

1025249280 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 1025249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882488384).

1025249280 is an abundant number, since it is smaller than the sum of its proper divisors (2739727488).

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

1025249280 is a wasteful number, since it uses less digits than its factorization.

1025249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1025249280 is about 32019.5140500289. The cubic root of 1025249280 is about 1008.3465676533.

The spelling of 1025249280 in words is "one billion, twenty-five million, two hundred forty-nine thousand, two hundred eighty".