1006212480 has 384 divisors, whose sum is σ = 3978097920. Its totient is φ = 211820544.

The previous prime is 1006212451. The next prime is 1006212503. The reversal of 1006212480 is 842126001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1006212480.

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, 2271139 + ... + 2271581.

It is an arithmetic number, because the mean of its divisors is an integer number (10359630).

Almost surely, 2^1006212480 is an apocalyptic number.

1006212480 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 1006212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989048960).

1006212480 is an abundant number, since it is smaller than the sum of its proper divisors (2971885440).

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

1006212480 is a wasteful number, since it uses less digits than its factorization.

1006212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1006212480 is about 31720.8524475620. The cubic root of 1006212480 is about 1002.0665530832.

Adding to 1006212480 its reverse (842126001), we get a palindrome (1848338481).

The spelling of 1006212480 in words is "one billion, six million, two hundred twelve thousand, four hundred eighty".