1464613540 has 96 divisors (see below), whose sum is σ = 3408894720. Its totient is φ = 525159936.

The previous prime is 1464613523. The next prime is 1464613559. The reversal of 1464613540 is 453164641.

It is a junction number, because it is equal to n+sod(n) for n = 1464613496 and 1464613505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3007177 + ... + 3007663.

It is an arithmetic number, because the mean of its divisors is an integer number (35509320).

Almost surely, 2^1464613540 is an apocalyptic number.

1464613540 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 1464613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704447360).

1464613540 is an abundant number, since it is smaller than the sum of its proper divisors (1944281180).

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

1464613540 is a wasteful number, since it uses less digits than its factorization.

1464613540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1464613540 is about 38270.2696619713. The cubic root of 1464613540 is about 1135.6408730982.

The spelling of 1464613540 in words is "one billion, four hundred sixty-four million, six hundred thirteen thousand, five hundred forty".