1482051600 has 240 divisors, whose sum is σ = 5405279040. Its totient is φ = 385459200.

The previous prime is 1482051587. The next prime is 1482051617. The reversal of 1482051600 is 61502841.

1482051600 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 0 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441127 + ... + 444473.

It is an arithmetic number, because the mean of its divisors is an integer number (22521996).

Almost surely, 2^1482051600 is an apocalyptic number.

1482051600 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 1482051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702639520).

1482051600 is an abundant number, since it is smaller than the sum of its proper divisors (3923227440).

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

1482051600 is a wasteful number, since it uses less digits than its factorization.

1482051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1482051600 is about 38497.4232903970. The cubic root of 1482051600 is about 1140.1301790398.

The spelling of 1482051600 in words is "one billion, four hundred eighty-two million, fifty-one thousand, six hundred".