1055146800 has 120 divisors (see below), whose sum is σ = 3396004864. Its totient is φ = 280039680.

The previous prime is 1055146787. The next prime is 1055146801. The reversal of 1055146800 is 86415501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1055146800² = 2226669539100480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1055146801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265629 + ... + 269571.

Almost surely, 2^1055146800 is an apocalyptic number.

1055146800 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 1055146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698002432).

1055146800 is an abundant number, since it is smaller than the sum of its proper divisors (2340858064).

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

1055146800 is a wasteful number, since it uses less digits than its factorization.

1055146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1055146800 is about 32483.0232583114. The cubic root of 1055146800 is about 1018.0543456101.

The spelling of 1055146800 in words is "one billion, fifty-five million, one hundred forty-six thousand, eight hundred".