1484985600 has 648 divisors, whose sum is σ = 6326261760. Its totient is φ = 325140480.

The previous prime is 1484985499. The next prime is 1484985701. The reversal of 1484985600 is 65894841.

1484985600 is a `hidden beast` number, since 1 + 4 + 84 + 9 + 8 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1484985499) and next prime (1484985701).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11692737 + ... + 11692863.

Almost surely, 2^1484985600 is an apocalyptic number.

1484985600 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 1484985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163130880).

1484985600 is an abundant number, since it is smaller than the sum of its proper divisors (4841276160).

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

1484985600 is a wasteful number, since it uses less digits than its factorization.

1484985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1484985600 is about 38535.5108957958. The cubic root of 1484985600 is about 1140.8820505050.

The spelling of 1484985600 in words is "one billion, four hundred eighty-four million, nine hundred eighty-five thousand, six hundred".