1053842400 has 504 divisors, whose sum is σ = 4183872840. Its totient is φ = 257541120.

The previous prime is 1053842389. The next prime is 1053842401. The reversal of 1053842400 is 42483501.

It is a super-2 number, since 2×1053842400² = 2221167608075520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053842401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7581531 + ... + 7581669.

It is an arithmetic number, because the mean of its divisors is an integer number (8301335).

Almost surely, 2^1053842400 is an apocalyptic number.

1053842400 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 1053842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091936420).

1053842400 is an abundant number, since it is smaller than the sum of its proper divisors (3130030440).

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

1053842400 is a wasteful number, since it uses less digits than its factorization.

1053842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1053842400 is about 32462.9388688085. The cubic root of 1053842400 is about 1017.6346575060.

The spelling of 1053842400 in words is "one billion, fifty-three million, eight hundred forty-two thousand, four hundred".