1051456896 has 256 divisors, whose sum is σ = 3623040000. Its totient is φ = 300077568.

The previous prime is 1051456873. The next prime is 1051456907. The reversal of 1051456896 is 6986541501.

1051456896 is a `hidden beast` number, since 1 + 0 + 514 + 56 + 89 + 6 = 666.

It is a super-2 number, since 2×1051456896² = 2211123208291909632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184965 + ... + 1185851.

It is an arithmetic number, because the mean of its divisors is an integer number (14152500).

Almost surely, 2^1051456896 is an apocalyptic number.

1051456896 is a gapful number since it is divisible by the number (16) 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 1051456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811520000).

1051456896 is an abundant number, since it is smaller than the sum of its proper divisors (2571583104).

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

1051456896 is an frugal number, since it uses more digits than its factorization.

1051456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1051456896 is about 32426.1760927804. The cubic root of 1051456896 is about 1016.8662296535.

The spelling of 1051456896 in words is "one billion, fifty-one million, four hundred fifty-six thousand, eight hundred ninety-six".