1025206420 has 192 divisors, whose sum is σ = 2721600000. Its totient is φ = 323033088.

The previous prime is 1025206411. The next prime is 1025206423. The reversal of 1025206420 is 246025201.

1025206420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1025206391 and 1025206400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025206423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6880506 + ... + 6880654.

It is an arithmetic number, because the mean of its divisors is an integer number (14175000).

Almost surely, 2^1025206420 is an apocalyptic number.

1025206420 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 1025206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800000).

1025206420 is an abundant number, since it is smaller than the sum of its proper divisors (1696393580).

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

1025206420 is a wasteful number, since it uses less digits than its factorization.

1025206420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1025206420 is about 32018.8447636700. The cubic root of 1025206420 is about 1008.3325163272.

The spelling of 1025206420 in words is "one billion, twenty-five million, two hundred six thousand, four hundred twenty".