1385496576 has 238 divisors, whose sum is σ = 4297818090. Its totient is φ = 445906944.

The previous prime is 1385496571. The next prime is 1385496589. The reversal of 1385496576 is 6756945831.

1385496576 is a `hidden beast` number, since 1 + 3 + 85 + 496 + 5 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 191102976 = 34560^2 + 13824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385496571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775730 + ... + 47775758.

Almost surely, 2^1385496576 is an apocalyptic number.

1385496576 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 1385496576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148909045).

1385496576 is an abundant number, since it is smaller than the sum of its proper divisors (2912321514).

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

1385496576 is an frugal number, since it uses more digits than its factorization.

1385496576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 1385496576 is about 37222.2591469137. The cubic root of 1385496576 is about 1114.8124725008.

The spelling of 1385496576 in words is "one billion, three hundred eighty-five million, four hundred ninety-six thousand, five hundred seventy-six".