1054705200 has 240 divisors, whose sum is σ = 3590603520. Its totient is φ = 263900160.

The previous prime is 1054705199. The next prime is 1054705207. The reversal of 1054705200 is 25074501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1054705200² = 2224806117814080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1054705207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3807462 + ... + 3807738.

It is an arithmetic number, because the mean of its divisors is an integer number (14960848).

Almost surely, 2^1054705200 is an apocalyptic number.

1054705200 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 1054705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795301760).

1054705200 is an abundant number, since it is smaller than the sum of its proper divisors (2535898320).

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

1054705200 is a wasteful number, since it uses less digits than its factorization.

1054705200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 1054705200 is about 32476.2251501002. The cubic root of 1054705200 is about 1017.9123004362.

Adding to 1054705200 its reverse (25074501), we get a palindrome (1079779701).

The spelling of 1054705200 in words is "one billion, fifty-four million, seven hundred five thousand, two hundred".