1054963200 has 240 divisors, whose sum is σ = 3537648576. Its totient is φ = 277094400.

The previous prime is 1054963181. The next prime is 1054963211. The reversal of 1054963200 is 23694501.

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

It is a super-2 number, since 2×1054963200² = 2225894706708480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3187035 + ... + 3187365.

Almost surely, 2^1054963200 is an apocalyptic number.

1054963200 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 1054963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768824288).

1054963200 is an abundant number, since it is smaller than the sum of its proper divisors (2482685376).

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

1054963200 is an equidigital number, since it uses as much as digits as its factorization.

1054963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1054963200 is about 32480.1970437373. The cubic root of 1054963200 is about 1017.9952935994.

The spelling of 1054963200 in words is "one billion, fifty-four million, nine hundred sixty-three thousand, two hundred".