1053882480 has 160 divisors (see below), whose sum is σ = 3771330048. Its totient is φ = 238464000.

The previous prime is 1053882451. The next prime is 1053882497. The reversal of 1053882480 is 842883501.

It is a super-2 number, since 2×1053882480² = 2221336563301900800, which contains 22 as substring.

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, 166575 + ... + 172785.

Almost surely, 2^1053882480 is an apocalyptic number.

1053882480 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 1053882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885665024).

1053882480 is an abundant number, since it is smaller than the sum of its proper divisors (2717447568).

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

1053882480 is a wasteful number, since it uses less digits than its factorization.

1053882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1053882480 is about 32463.5561822792. The cubic root of 1053882480 is about 1017.6475583218.

The spelling of 1053882480 in words is "one billion, fifty-three million, eight hundred eighty-two thousand, four hundred eighty".