1048361600 has 384 divisors, whose sum is σ = 3187296000. Its totient is φ = 335462400.

The previous prime is 1048361599. The next prime is 1048361609. The reversal of 1048361600 is 61638401.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1048361609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13270361 + ... + 13270439.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^1048361600 is an apocalyptic number.

1048361600 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 1048361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

1048361600 is an abundant number, since it is smaller than the sum of its proper divisors (2138934400).

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

1048361600 is a wasteful number, since it uses less digits than its factorization.

1048361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1048361600 is about 32378.4125614583. The cubic root of 1048361600 is about 1015.8674264367.

The spelling of 1048361600 in words is "one billion, forty-eight million, three hundred sixty-one thousand, six hundred".