1007013460 has 24 divisors (see below), whose sum is σ = 2171884680. Its totient is φ = 391918464.

The previous prime is 1007013457. The next prime is 1007013467. The reversal of 1007013460 is 643107001.

It can be written as a sum of positive squares in 4 ways, for example, as 101364624 + 905648836 = 10068^2 + 30094^2 .

It is a super-2 number, since 2×1007013460² = 2028152217242343200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007013467) 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, 679675 + ... + 681154.

It is an arithmetic number, because the mean of its divisors is an integer number (90495195).

Almost surely, 2^1007013460 is an apocalyptic number.

1007013460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007013460 is an abundant number, since it is smaller than the sum of its proper divisors (1164871220).

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

1007013460 is a wasteful number, since it uses less digits than its factorization.

1007013460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360875 (or 1360873 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1007013460 is about 31733.4753848361. The cubic root of 1007013460 is about 1002.3323757938.

The spelling of 1007013460 in words is "one billion, seven million, thirteen thousand, four hundred sixty".