1025574000 has 320 divisors, whose sum is σ = 3704762880. Its totient is φ = 241920000.

The previous prime is 1025573999. The next prime is 1025574019. The reversal of 1025574000 is 4755201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2705811 + ... + 2706189.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2^1025574000 is an apocalyptic number.

1025574000 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 1025574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

1025574000 is an abundant number, since it is smaller than the sum of its proper divisors (2679188880).

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

1025574000 is a wasteful number, since it uses less digits than its factorization.

1025574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 1025574000 is about 32024.5843064356. The cubic root of 1025574000 is about 1008.4530119239.

It can be divided in two parts, 10255 and 74000, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 1025574000 in words is "one billion, twenty-five million, five hundred seventy-four thousand".