1054846800 has 300 divisors, whose sum is σ = 4327513696. Its totient is φ = 241056000.

The previous prime is 1054846777. The next prime is 1054846813. The reversal of 1054846800 is 86484501.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1054846800² = 2225403542940480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 224475 + ... + 229125.

Almost surely, 2^1054846800 is an apocalyptic number.

1054846800 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 1054846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163756848).

1054846800 is an abundant number, since it is smaller than the sum of its proper divisors (3272666896).

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

1054846800 is a wasteful number, since it uses less digits than its factorization.

1054846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1054846800 is about 32478.4051332574. The cubic root of 1054846800 is about 1017.9578518477.

The spelling of 1054846800 in words is "one billion, fifty-four million, eight hundred forty-six thousand, eight hundred".