1470084672 has 84 divisors (see below), whose sum is σ = 4524664560. Its totient is φ = 420021504.

The previous prime is 1470084631. The next prime is 1470084677. The reversal of 1470084672 is 2764800741.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1470084672² = 4322297885698695168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1470084672.

It is not an unprimeable number, because it can be changed into a prime (1470084677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68722 + ... + 87537.

Almost surely, 2^1470084672 is an apocalyptic number.

1470084672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1470084672 is an abundant number, since it is smaller than the sum of its proper divisors (3054579888).

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

1470084672 is a wasteful number, since it uses less digits than its factorization.

1470084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156288 (or 156271 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 1470084672 is about 38341.6832181374. The cubic root of 1470084672 is about 1137.0531957237.

It can be divided in two parts, 14700 and 84672, that multiplied together give a square (1244678400 = 35280²).

The spelling of 1470084672 in words is "one billion, four hundred seventy million, eighty-four thousand, six hundred seventy-two".