1025190400 has 240 divisors, whose sum is σ = 2807742168. Its totient is φ = 368640000.

The previous prime is 1025190379. The next prime is 1025190409. The reversal of 1025190400 is 40915201.

It can be written as a sum of positive squares in 12 ways, for example, as 2214144 + 1022976256 = 1488^2 + 31984^2 .

It is not an unprimeable number, because it can be changed into a prime (1025190409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10150350 + ... + 10150450.

Almost surely, 2^1025190400 is an apocalyptic number.

1025190400 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 1025190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403871084).

1025190400 is an abundant number, since it is smaller than the sum of its proper divisors (1782551768).

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

1025190400 is a wasteful number, since it uses less digits than its factorization.

1025190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1025190400 is about 32018.5945975147. The cubic root of 1025190400 is about 1008.3272641910.

The spelling of 1025190400 in words is "one billion, twenty-five million, one hundred ninety thousand, four hundred".