1464982400 has 144 divisors (see below), whose sum is σ = 4210266240. Its totient is φ = 502225920.

The previous prime is 1464982397. The next prime is 1464982427. The reversal of 1464982400 is 42894641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 152129 + ... + 161471.

It is an arithmetic number, because the mean of its divisors is an integer number (29237960).

Almost surely, 2^1464982400 is an apocalyptic number.

1464982400 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 1464982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105133120).

1464982400 is an abundant number, since it is smaller than the sum of its proper divisors (2745283840).

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

1464982400 is an equidigital number, since it uses as much as digits as its factorization.

1464982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1464982400 is about 38275.0885041433. The cubic root of 1464982400 is about 1135.7362013925.

The spelling of 1464982400 in words is "one billion, four hundred sixty-four million, nine hundred eighty-two thousand, four hundred".