1482506400 has 288 divisors, whose sum is σ = 5102673408. Its totient is φ = 373120000.

The previous prime is 1482506371. The next prime is 1482506401. The reversal of 1482506400 is 46052841.

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

It is not an unprimeable number, because it can be changed into a prime (1482506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5906275 + ... + 5906525.

It is an arithmetic number, because the mean of its divisors is an integer number (17717616).

Almost surely, 2^1482506400 is an apocalyptic number.

1482506400 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 1482506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551336704).

1482506400 is an abundant number, since it is smaller than the sum of its proper divisors (3620167008).

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

1482506400 is a wasteful number, since it uses less digits than its factorization.

1482506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1482506400 is about 38503.3297261419. The cubic root of 1482506400 is about 1140.2467917528.

The spelling of 1482506400 in words is "one billion, four hundred eighty-two million, five hundred six thousand, four hundred".