1470976416 has 384 divisors, whose sum is σ = 5395299840. Its totient is φ = 379551744.

The previous prime is 1470976399. The next prime is 1470976427. The reversal of 1470976416 is 6146790741.

1470976416 is a `hidden beast` number, since 147 + 0 + 97 + 6 + 416 = 666.

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, 4166896 + ... + 4167248.

It is an arithmetic number, because the mean of its divisors is an integer number (14050260).

Almost surely, 2^1470976416 is an apocalyptic number.

1470976416 is a gapful number since it is divisible by the number (16) 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 1470976416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697649920).

1470976416 is an abundant number, since it is smaller than the sum of its proper divisors (3924323424).

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

1470976416 is a wasteful number, since it uses less digits than its factorization.

1470976416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1470976416 is about 38353.3103655995. The cubic root of 1470976416 is about 1137.2830589945.

It can be divided in two parts, 14709 and 76416, that added together give a cube (91125 = 45³).

The spelling of 1470976416 in words is "one billion, four hundred seventy million, nine hundred seventy-six thousand, four hundred sixteen".