1046482000 has 80 divisors (see below), whose sum is σ = 2663668800. Its totient is φ = 396547200.

The previous prime is 1046481967. The next prime is 1046482027. The reversal of 1046482000 is 2846401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24231 + ... + 51769.

It is an arithmetic number, because the mean of its divisors is an integer number (33295860).

Almost surely, 2^1046482000 is an apocalyptic number.

1046482000 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 1046482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331834400).

1046482000 is an abundant number, since it is smaller than the sum of its proper divisors (1617186800).

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

1046482000 is a wasteful number, since it uses less digits than its factorization.

1046482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27581 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1046482000 is about 32349.3740279468. The cubic root of 1046482000 is about 1015.2599494352.

The spelling of 1046482000 in words is "one billion, forty-six million, four hundred eighty-two thousand".