1052652480 has 224 divisors, whose sum is σ = 3693005568. Its totient is φ = 251904000.

The previous prime is 1052652457. The next prime is 1052652493. The reversal of 1052652480 is 842562501.

It is a super-2 number, since 2×1052652480² = 2216154487300300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 875880 + ... + 877080.

It is an arithmetic number, because the mean of its divisors is an integer number (16486632).

Almost surely, 2^1052652480 is an apocalyptic number.

1052652480 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 1052652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846502784).

1052652480 is an abundant number, since it is smaller than the sum of its proper divisors (2640353088).

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

1052652480 is a wasteful number, since it uses less digits than its factorization.

1052652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1052652480 is about 32444.6063314074. The cubic root of 1052652480 is about 1017.2515009506.

The spelling of 1052652480 in words is "one billion, fifty-two million, six hundred fifty-two thousand, four hundred eighty".