1385402400 has 288 divisors, whose sum is σ = 5174668800. Its totient is φ = 357350400.

The previous prime is 1385402399. The next prime is 1385402411. The reversal of 1385402400 is 42045831.

1385402400 is a `hidden beast` number, since 1 + 385 + 40 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668566 + ... + 670634.

It is an arithmetic number, because the mean of its divisors is an integer number (17967600).

Almost surely, 2^1385402400 is an apocalyptic number.

1385402400 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 1385402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587334400).

1385402400 is an abundant number, since it is smaller than the sum of its proper divisors (3789266400).

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

1385402400 is a wasteful number, since it uses less digits than its factorization.

1385402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1385402400 is about 37220.9940759244. The cubic root of 1385402400 is about 1114.7872129753.

The spelling of 1385402400 in words is "one billion, three hundred eighty-five million, four hundred two thousand, four hundred".