1047519456 has 96 divisors (see below), whose sum is σ = 2826109440. Its totient is φ = 339572736.

The previous prime is 1047519449. The next prime is 1047519461. The reversal of 1047519456 is 6549157401.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 807000 + ... + 808296.

It is an arithmetic number, because the mean of its divisors is an integer number (29438640).

Almost surely, 2^1047519456 is an apocalyptic number.

1047519456 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 1047519456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413054720).

1047519456 is an abundant number, since it is smaller than the sum of its proper divisors (1778589984).

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

1047519456 is a wasteful number, since it uses less digits than its factorization.

1047519456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 1047519456 is about 32365.4052346020. The cubic root of 1047519456 is about 1015.5953397079.

The spelling of 1047519456 in words is "one billion, forty-seven million, five hundred nineteen thousand, four hundred fifty-six".