1053772400 has 60 divisors (see below), whose sum is σ = 2556367632. Its totient is φ = 417400320.

The previous prime is 1053772339. The next prime is 1053772417. The reversal of 1053772400 is 42773501.

It is a super-2 number, since 2×1053772400² = 2220872542003520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28412 + ... + 53988.

Almost surely, 2^1053772400 is an apocalyptic number.

1053772400 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 1053772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278183816).

1053772400 is an abundant number, since it is smaller than the sum of its proper divisors (1502595232).

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

1053772400 is a wasteful number, since it uses less digits than its factorization.

1053772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25698 (or 25687 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 1053772400 is about 32461.8606983642. The cubic root of 1053772400 is about 1017.6121253566.

The spelling of 1053772400 in words is "one billion, fifty-three million, seven hundred seventy-two thousand, four hundred".