1053748400 has 120 divisors (see below), whose sum is σ = 2695858704. Its totient is φ = 394444800.

The previous prime is 1053748393. The next prime is 1053748403. The reversal of 1053748400 is 48473501.

It is a super-2 number, since 2×1053748400² = 2220771381005120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053748403) 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, 1638479 + ... + 1639121.

Almost surely, 2^1053748400 is an apocalyptic number.

1053748400 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 1053748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347929352).

1053748400 is an abundant number, since it is smaller than the sum of its proper divisors (1642110304).

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

1053748400 is a wasteful number, since it uses less digits than its factorization.

1053748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1053748400 is about 32461.4910316824. The cubic root of 1053748400 is about 1017.6043998185.

The spelling of 1053748400 in words is "one billion, fifty-three million, seven hundred forty-eight thousand, four hundred".