1048045824 has 144 divisors (see below), whose sum is σ = 3542170240. Its totient is φ = 299427840.

The previous prime is 1048045787. The next prime is 1048045879. The reversal of 1048045824 is 4285408401.

1048045824 is a `hidden beast` number, since 104 + 80 + 458 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37554 + ... + 59214.

Almost surely, 2^1048045824 is an apocalyptic number.

1048045824 is a gapful number since it is divisible by the number (14) 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 1048045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771085120).

1048045824 is an abundant number, since it is smaller than the sum of its proper divisors (2494124416).

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

1048045824 is an equidigital number, since it uses as much as digits as its factorization.

1048045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21693 (or 21673 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1048045824 is about 32373.5358587844. The cubic root of 1048045824 is about 1015.7654200406.

The spelling of 1048045824 in words is "one billion, forty-eight million, forty-five thousand, eight hundred twenty-four".