1052980480 has 144 divisors (see below), whose sum is σ = 2691408384. Its totient is φ = 393789440.

The previous prime is 1052980477. The next prime is 1052980483. The reversal of 1052980480 is 840892501.

It is an interprime number because it is at equal distance from previous prime (1052980477) and next prime (1052980483).

It is a super-2 number, since 2×1052980480² = 2217535782522060800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052980483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383300 + ... + 1384060.

It is an arithmetic number, because the mean of its divisors is an integer number (18690336).

Almost surely, 2^1052980480 is an apocalyptic number.

1052980480 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 1052980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345704192).

1052980480 is an abundant number, since it is smaller than the sum of its proper divisors (1638427904).

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

1052980480 is an equidigital number, since it uses as much as digits as its factorization.

1052980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 1052980480 is about 32449.6607070089. The cubic root of 1052980480 is about 1017.3571464032.

The spelling of 1052980480 in words is "one billion, fifty-two million, nine hundred eighty thousand, four hundred eighty".