1465332000 has 384 divisors, whose sum is σ = 5553370368. Its totient is φ = 333824000.

The previous prime is 1465331999. The next prime is 1465332031. The reversal of 1465332000 is 2335641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243674 + ... + 2244326.

It is an arithmetic number, because the mean of its divisors is an integer number (14461902).

Almost surely, 2^1465332000 is an apocalyptic number.

1465332000 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 1465332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776685184).

1465332000 is an abundant number, since it is smaller than the sum of its proper divisors (4088038368).

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

1465332000 is a wasteful number, since it uses less digits than its factorization.

1465332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1465332000 is about 38279.6551708607. The cubic root of 1465332000 is about 1135.8265373575.

Adding to 1465332000 its reverse (2335641), we get a palindrome (1467667641).

The spelling of 1465332000 in words is "one billion, four hundred sixty-five million, three hundred thirty-two thousand".