1025958400 has 60 divisors (see below), whose sum is σ = 2541923802. Its totient is φ = 410378240.

The previous prime is 1025958397. The next prime is 1025958403. The reversal of 1025958400 is 48595201.

It is an interprime number because it is at equal distance from previous prime (1025958397) and next prime (1025958403).

It can be written as a sum of positive squares in 3 ways, for example, as 996538624 + 29419776 = 31568^2 + 5424^2 .

It is not an unprimeable number, because it can be changed into a prime (1025958403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27277 + ... + 52876.

Almost surely, 2^1025958400 is an apocalyptic number.

1025958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025958400 is an abundant number, since it is smaller than the sum of its proper divisors (1515965402).

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

1025958400 is an frugal number, since it uses more digits than its factorization.

1025958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80181 (or 80160 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 1025958400 is about 32030.5853833488. The cubic root of 1025958400 is about 1008.5789904542.

The spelling of 1025958400 in words is "one billion, twenty-five million, nine hundred fifty-eight thousand, four hundred".