1461335660 has 96 divisors (see below), whose sum is σ = 3252092928. Its totient is φ = 550851840.

The previous prime is 1461335651. The next prime is 1461335669. The reversal of 1461335660 is 665331641.

It is an interprime number because it is at equal distance from previous prime (1461335651) and next prime (1461335669).

It is a super-2 number, since 2×1461335660² = 4271003822375271200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1461335660.

It is not an unprimeable number, because it can be changed into a prime (1461335669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5275442 + ... + 5275718.

It is an arithmetic number, because the mean of its divisors is an integer number (33875968).

Almost surely, 2^1461335660 is an apocalyptic number.

1461335660 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 1461335660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626046464).

1461335660 is an abundant number, since it is smaller than the sum of its proper divisors (1790757268).

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

1461335660 is a wasteful number, since it uses less digits than its factorization.

1461335660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 1461335660 is about 38227.4202634706. The cubic root of 1461335660 is about 1134.7930328305.

The spelling of 1461335660 in words is "one billion, four hundred sixty-one million, three hundred thirty-five thousand, six hundred sixty".