1385301600 has 216 divisors, whose sum is σ = 4916529072. Its totient is φ = 367027200.

The previous prime is 1385301553. The next prime is 1385301607. The reversal of 1385301600 is 61035831.

1385301600 is a `hidden beast` number, since 1 + 3 + 8 + 53 + 0 + 1 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385301607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1302669 + ... + 1303731.

Almost surely, 2^1385301600 is an apocalyptic number.

1385301600 is a gapful number since it is divisible by the number (10) 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 1385301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458264536).

1385301600 is an abundant number, since it is smaller than the sum of its proper divisors (3531227472).

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

1385301600 is a wasteful number, since it uses less digits than its factorization.

1385301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1385301600 is about 37219.6399767650. The cubic root of 1385301600 is about 1114.7601755176.

The spelling of 1385301600 in words is "one billion, three hundred eighty-five million, three hundred one thousand, six hundred".