1460641340 has 72 divisors (see below), whose sum is σ = 3285762480. Its totient is φ = 543905280.

The previous prime is 1460641337. The next prime is 1460641393. The reversal of 1460641340 is 431460641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413464 + ... + 1414496.

It is an arithmetic number, because the mean of its divisors is an integer number (45635590).

Almost surely, 2^1460641340 is an apocalyptic number.

1460641340 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 1460641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642881240).

1460641340 is an abundant number, since it is smaller than the sum of its proper divisors (1825121140).

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

1460641340 is a wasteful number, since it uses less digits than its factorization.

1460641340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1460641340 is about 38218.3377451192. The cubic root of 1460641340 is about 1134.6132807633.

The spelling of 1460641340 in words is "one billion, four hundred sixty million, six hundred forty-one thousand, three hundred forty".