1472736384 has 256 divisors, whose sum is σ = 5261241600. Its totient is φ = 395919360.

The previous prime is 1472736329. The next prime is 1472736439. The reversal of 1472736384 is 4836372741.

1472736384 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 7 + 3 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1472736329) and next prime (1472736439).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409474 + ... + 413054.

It is an arithmetic number, because the mean of its divisors is an integer number (20551725).

Almost surely, 2^1472736384 is an apocalyptic number.

1472736384 is a gapful number since it is divisible by the number (14) 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 1472736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630620800).

1472736384 is an abundant number, since it is smaller than the sum of its proper divisors (3788505216).

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

1472736384 is a wasteful number, since it uses less digits than its factorization.

1472736384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3610 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 1472736384 is about 38376.2476539851. The cubic root of 1472736384 is about 1137.7364503670.

The spelling of 1472736384 in words is "one billion, four hundred seventy-two million, seven hundred thirty-six thousand, three hundred eighty-four".