1000025400 has 192 divisors, whose sum is σ = 3400318080. Its totient is φ = 241113600.

The previous prime is 1000025363. The next prime is 1000025401. The reversal of 1000025400 is 45200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000025401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1827927 + ... + 1828473.

It is an arithmetic number, because the mean of its divisors is an integer number (17709990).

Almost surely, 2^1000025400 is an apocalyptic number.

1000025400 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 1000025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700159040).

1000025400 is an abundant number, since it is smaller than the sum of its proper divisors (2400292680).

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

1000025400 is a wasteful number, since it uses less digits than its factorization.

1000025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1000025400 is about 31623.1782083964. The cubic root of 1000025400 is about 1000.0084665950.

Adding to 1000025400 its reverse (45200001), we get a palindrome (1045225401).

The spelling of 1000025400 in words is "one billion, twenty-five thousand, four hundred".