1025049600 has 264 divisors, whose sum is σ = 3766807520. Its totient is φ = 273162240.

The previous prime is 1025049587. The next prime is 1025049607. The reversal of 1025049600 is 69405201.

1025049600 is a `hidden beast` number, since 1 + 0 + 2 + 50 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1025049607) 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, 690459 + ... + 691941.

Almost surely, 2^1025049600 is an apocalyptic number.

1025049600 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 1025049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883403760).

1025049600 is an abundant number, since it is smaller than the sum of its proper divisors (2741757920).

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

1025049600 is a wasteful number, since it uses less digits than its factorization.

1025049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1025049600 is about 32016.3957996524. The cubic root of 1025049600 is about 1008.2811007405.

The spelling of 1025049600 in words is "one billion, twenty-five million, forty-nine thousand, six hundred".