1053874400 has 72 divisors (see below), whose sum is σ = 2598443064. Its totient is φ = 417344000.

The previous prime is 1053874379. The next prime is 1053874403. The reversal of 1053874400 is 44783501.

1053874400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053874400² = 2221302501950720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053874403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74279 + ... + 87321.

It is an arithmetic number, because the mean of its divisors is an integer number (36089487).

Almost surely, 2^1053874400 is an apocalyptic number.

1053874400 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 1053874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299221532).

1053874400 is an abundant number, since it is smaller than the sum of its proper divisors (1544568664).

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

1053874400 is a wasteful number, since it uses less digits than its factorization.

1053874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13151 counting only the distinct ones).

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

The square root of 1053874400 is about 32463.4317347997. The cubic root of 1053874400 is about 1017.6449575848.

The spelling of 1053874400 in words is "one billion, fifty-three million, eight hundred seventy-four thousand, four hundred".