1051424000 has 288 divisors, whose sum is σ = 2984567040. Its totient is φ = 365568000.

The previous prime is 1051423979. The next prime is 1051424021. The reversal of 1051424000 is 4241501.

1051424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1051423979) and next prime (1051424021).

It is a super-2 number, since 2×1051424000² = 2210984855552000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1051424000.

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, 10207949 + ... + 10208051.

It is an arithmetic number, because the mean of its divisors is an integer number (10363080).

Almost surely, 2^1051424000 is an apocalyptic number.

1051424000 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 1051424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492283520).

1051424000 is an abundant number, since it is smaller than the sum of its proper divisors (1933143040).

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

1051424000 is a wasteful number, since it uses less digits than its factorization.

1051424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1051424000 is about 32425.6688442968. The cubic root of 1051424000 is about 1016.8556249454.

Adding to 1051424000 its reverse (4241501), we get a palindrome (1055665501).

The spelling of 1051424000 in words is "one billion, fifty-one million, four hundred twenty-four thousand".