1025894400 has 144 divisors (see below), whose sum is σ = 3391970400. Its totient is φ = 273530880.

The previous prime is 1025894383. The next prime is 1025894413. The reversal of 1025894400 is 44985201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150261 + ... + 156939.

It is an arithmetic number, because the mean of its divisors is an integer number (23555350).

Almost surely, 2^1025894400 is an apocalyptic number.

1025894400 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 1025894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695985200).

1025894400 is an abundant number, since it is smaller than the sum of its proper divisors (2366076000).

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

1025894400 is an equidigital number, since it uses as much as digits as its factorization.

1025894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6689 counting only the distinct ones).

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

The square root of 1025894400 is about 32029.5863226486. The cubic root of 1025894400 is about 1008.5580180647.

The spelling of 1025894400 in words is "one billion, twenty-five million, eight hundred ninety-four thousand, four hundred".