1082404512 has 288 divisors, whose sum is σ = 3777157440. Its totient is φ = 300464640.

The previous prime is 1082404487. The next prime is 1082404579. The reversal of 1082404512 is 2154042801.

1082404512 is a `hidden beast` number, since 108 + 2 + 40 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1566087 + ... + 1566777.

It is an arithmetic number, because the mean of its divisors is an integer number (13115130).

Almost surely, 2^1082404512 is an apocalyptic number.

1082404512 is a gapful number since it is divisible by the number (12) 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 1082404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888578720).

1082404512 is an abundant number, since it is smaller than the sum of its proper divisors (2694752928).

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

1082404512 is a wasteful number, since it uses less digits than its factorization.

1082404512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1082404512 is about 32899.9165956390. The cubic root of 1082404512 is about 1026.7464217197.

The spelling of 1082404512 in words is "one billion, eighty-two million, four hundred four thousand, five hundred twelve".