1008020460 has 24 divisors (see below), whose sum is σ = 2822457456. Its totient is φ = 268805440.

The previous prime is 1008020437. The next prime is 1008020477. The reversal of 1008020460 is 640208001.

It is a super-2 number, since 2×1008020460² = 2032210495557223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8400111 + ... + 8400230.

It is an arithmetic number, because the mean of its divisors is an integer number (117602394).

Almost surely, 2^1008020460 is an apocalyptic number.

1008020460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008020460 is an abundant number, since it is smaller than the sum of its proper divisors (1814436996).

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

1008020460 is a wasteful number, since it uses less digits than its factorization.

1008020460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800353 (or 16800351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1008020460 is about 31749.3379458533. The cubic root of 1008020460 is about 1002.6663708145. Note that the first 3 decimals are identical.

Adding to 1008020460 its reverse (640208001), we get a palindrome (1648228461).

The spelling of 1008020460 in words is "one billion, eight million, twenty thousand, four hundred sixty".