1025036400 has 120 divisors (see below), whose sum is σ = 3426387840. Its totient is φ = 261451520.

The previous prime is 1025036399. The next prime is 1025036401. The reversal of 1025036400 is 46305201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1025036399) and next prime (1025036401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025036401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9031 + ... + 46169.

It is an arithmetic number, because the mean of its divisors is an integer number (28553232).

Almost surely, 2^1025036400 is an apocalyptic number.

1025036400 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 1025036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713193920).

1025036400 is an abundant number, since it is smaller than the sum of its proper divisors (2401351440).

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

1025036400 is a wasteful number, since it uses less digits than its factorization.

1025036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37183 (or 37172 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1025036400 is about 32016.1896546107. The cubic root of 1025036400 is about 1008.2767727003.

The spelling of 1025036400 in words is "one billion, twenty-five million, thirty-six thousand, four hundred".