1048460200 has 96 divisors (see below), whose sum is σ = 2583819000. Its totient is φ = 394956800.

The previous prime is 1048460177. The next prime is 1048460213. The reversal of 1048460200 is 20648401.

It can be written as a sum of positive squares in 12 ways, for example, as 76143076 + 972317124 = 8726^2 + 31182^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235596 + ... + 240004.

Almost surely, 2^1048460200 is an apocalyptic number.

1048460200 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 1048460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291909500).

1048460200 is an abundant number, since it is smaller than the sum of its proper divisors (1535358800).

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

1048460200 is a wasteful number, since it uses less digits than its factorization.

1048460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1048460200 is about 32379.9351450864. The cubic root of 1048460200 is about 1015.8992733962.

The spelling of 1048460200 in words is "one billion, forty-eight million, four hundred sixty thousand, two hundred".