1465359480 has 192 divisors, whose sum is σ = 5149085760. Its totient is φ = 359276544.

The previous prime is 1465359451. The next prime is 1465359487. The reversal of 1465359480 is 849535641.

1465359480 is a `hidden beast` number, since 1 + 4 + 6 + 53 + 594 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1465359487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651597 + ... + 1652483.

It is an arithmetic number, because the mean of its divisors is an integer number (26818155).

Almost surely, 2^1465359480 is an apocalyptic number.

1465359480 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 1465359480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574542880).

1465359480 is an abundant number, since it is smaller than the sum of its proper divisors (3683726280).

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

1465359480 is a wasteful number, since it uses less digits than its factorization.

1465359480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1465359480 is about 38280.0141065805. The cubic root of 1465359480 is about 1135.8336375273.

The spelling of 1465359480 in words is "one billion, four hundred sixty-five million, three hundred fifty-nine thousand, four hundred eighty".