1482562400 has 144 divisors (see below), whose sum is σ = 4156608960. Its totient is φ = 510681600.

The previous prime is 1482562391. The next prime is 1482562409. The reversal of 1482562400 is 42652841.

It is an interprime number because it is at equal distance from previous prime (1482562391) and next prime (1482562409).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482562409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162767 + ... + 171633.

It is an arithmetic number, because the mean of its divisors is an integer number (28865340).

Almost surely, 2^1482562400 is an apocalyptic number.

1482562400 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 1482562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078304480).

1482562400 is an abundant number, since it is smaller than the sum of its proper divisors (2674046560).

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

1482562400 is a wasteful number, since it uses less digits than its factorization.

1482562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8917 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1482562400 is about 38504.0569291081. The cubic root of 1482562400 is about 1140.2611487490.

The spelling of 1482562400 in words is "one billion, four hundred eighty-two million, five hundred sixty-two thousand, four hundred".