1053849600 has 216 divisors, whose sum is σ = 3775852080. Its totient is φ = 280903680.

The previous prime is 1053849593. The next prime is 1053849607. The reversal of 1053849600 is 69483501.

1053849600 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 8 + 49 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1053849593) and next prime (1053849607).

It is a super-2 number, since 2×1053849600² = 2221197958840320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053849607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459657 + ... + 461943.

Almost surely, 2^1053849600 is an apocalyptic number.

1053849600 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 1053849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887926040).

1053849600 is an abundant number, since it is smaller than the sum of its proper divisors (2722002480).

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

1053849600 is a wasteful number, since it uses less digits than its factorization.

1053849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1053849600 is about 32463.0497643090. The cubic root of 1053849600 is about 1017.6369750419.

The spelling of 1053849600 in words is "one billion, fifty-three million, eight hundred forty-nine thousand, six hundred".