1465152000 has 320 divisors, whose sum is σ = 5254913664. Its totient is φ = 360038400.

The previous prime is 1465151999. The next prime is 1465152001. The reversal of 1465152000 is 2515641.

It is an interprime number because it is at equal distance from previous prime (1465151999) and next prime (1465152001).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (1465152001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495707 + ... + 2496293.

Almost surely, 2^1465152000 is an apocalyptic number.

1465152000 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 1465152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627456832).

1465152000 is an abundant number, since it is smaller than the sum of its proper divisors (3789761664).

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

1465152000 is an equidigital number, since it uses as much as digits as its factorization.

1465152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1465152000 is about 38277.3039802962. The cubic root of 1465152000 is about 1135.7800274997.

Adding to 1465152000 its reverse (2515641), we get a palindrome (1467667641).

The spelling of 1465152000 in words is "one billion, four hundred sixty-five million, one hundred fifty-two thousand".