1465138080 has 288 divisors, whose sum is σ = 5751502848. Its totient is φ = 332697600.

The previous prime is 1465138079. The next prime is 1465138109. The reversal of 1465138080 is 808315641.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1924900 + ... + 1925660.

It is an arithmetic number, because the mean of its divisors is an integer number (19970496).

Almost surely, 2^1465138080 is an apocalyptic number.

1465138080 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 1465138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875751424).

1465138080 is an abundant number, since it is smaller than the sum of its proper divisors (4286364768).

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

1465138080 is a wasteful number, since it uses less digits than its factorization.

1465138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1465138080 is about 38277.1221488763. The cubic root of 1465138080 is about 1135.7764305787.

The spelling of 1465138080 in words is "one billion, four hundred sixty-five million, one hundred thirty-eight thousand, eighty".