1482616800 has 432 divisors, whose sum is σ = 6239600640. Its totient is φ = 323896320.

The previous prime is 1482616781. The next prime is 1482616829. The reversal of 1482616800 is 86162841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158561 + ... + 1159839.

It is an arithmetic number, because the mean of its divisors is an integer number (14443520).

Almost surely, 2^1482616800 is an apocalyptic number.

1482616800 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 1482616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119800320).

1482616800 is an abundant number, since it is smaller than the sum of its proper divisors (4756983840).

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

1482616800 is a wasteful number, since it uses less digits than its factorization.

1482616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1482616800 is about 38504.7633416958. The cubic root of 1482616800 is about 1140.2750951992.

It can be divided in two parts, 14826 and 16800, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 1482616800 in words is "one billion, four hundred eighty-two million, six hundred sixteen thousand, eight hundred".