1470504672 has 384 divisors, whose sum is σ = 5385139200. Its totient is φ = 380049408.

The previous prime is 1470504667. The next prime is 1470504683. The reversal of 1470504672 is 2764050741.

1470504672 is a `hidden beast` number, since 14 + 70 + 504 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4638658 + ... + 4638974.

It is an arithmetic number, because the mean of its divisors is an integer number (14023800).

Almost surely, 2^1470504672 is an apocalyptic number.

1470504672 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 1470504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692569600).

1470504672 is an abundant number, since it is smaller than the sum of its proper divisors (3914634528).

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

1470504672 is a wasteful number, since it uses less digits than its factorization.

1470504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1470504672 is about 38347.1598948345. The cubic root of 1470504672 is about 1137.1614699564.

The spelling of 1470504672 in words is "one billion, four hundred seventy million, five hundred four thousand, six hundred seventy-two".