1002478560 has 48 divisors (see below), whose sum is σ = 3157808976. Its totient is φ = 267327488.

The previous prime is 1002478553. The next prime is 1002478567. The reversal of 1002478560 is 658742001.

1002478560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002478553) and next prime (1002478567).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002478567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1043769 + ... + 1044728.

It is an arithmetic number, because the mean of its divisors is an integer number (65787687).

Almost surely, 2^1002478560 is an apocalyptic number.

1002478560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002478560 is an abundant number, since it is smaller than the sum of its proper divisors (2155330416).

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

1002478560 is a wasteful number, since it uses less digits than its factorization.

1002478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088515 (or 2088507 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1002478560 is about 31661.9418229520. The cubic root of 1002478560 is about 1000.8255050206.

The spelling of 1002478560 in words is "one billion, two million, four hundred seventy-eight thousand, five hundred sixty".