1054352000 has 256 divisors, whose sum is σ = 2920488480. Its totient is φ = 376012800.

The previous prime is 1054351973. The next prime is 1054352041. The reversal of 1054352000 is 2534501.

It can be written as a sum of positive squares in 16 ways, for example, as 19571776 + 1034780224 = 4424^2 + 32168^2 .

It is a super-2 number, since 2×1054352000² = 2223316279808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7695932 + ... + 7696068.

Almost surely, 2^1054352000 is an apocalyptic number.

1054352000 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 1054352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460244240).

1054352000 is an abundant number, since it is smaller than the sum of its proper divisors (1866136480).

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

1054352000 is a wasteful number, since it uses less digits than its factorization.

1054352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1054352000 is about 32470.7868706627. The cubic root of 1054352000 is about 1017.7986614893.

Adding to 1054352000 its reverse (2534501), we get a palindrome (1056886501).

The spelling of 1054352000 in words is "one billion, fifty-four million, three hundred fifty-two thousand".