1465343040 has 168 divisors, whose sum is σ = 5412223872. Its totient is φ = 334924800.

The previous prime is 1465343039. The next prime is 1465343051. The reversal of 1465343040 is 403435641.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1465342989 and 1465343007.

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, 31465 + ... + 62615.

Almost surely, 2^1465343040 is an apocalyptic number.

1465343040 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 1465343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706111936).

1465343040 is an abundant number, since it is smaller than the sum of its proper divisors (3946880832).

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

1465343040 is a wasteful number, since it uses less digits than its factorization.

1465343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185 (or 31168 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1465343040 is about 38279.7993725150. The cubic root of 1465343040 is about 1135.8293898381.

Adding to 1465343040 its reverse (403435641), we get a palindrome (1868778681).

The spelling of 1465343040 in words is "one billion, four hundred sixty-five million, three hundred forty-three thousand, forty".