1364642400 has 144 divisors (see below), whose sum is σ = 4845814848. Its totient is φ = 330816000.

The previous prime is 1364642381. The next prime is 1364642423. The reversal of 1364642400 is 42464631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555 + ... + 52245.

It is an arithmetic number, because the mean of its divisors is an integer number (33651492).

Almost surely, 2^1364642400 is an apocalyptic number.

1364642400 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 1364642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422907424).

1364642400 is an abundant number, since it is smaller than the sum of its proper divisors (3481172448).

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

1364642400 is a wasteful number, since it uses less digits than its factorization.

1364642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51725 (or 51712 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1364642400 is about 36941.0665790797. The cubic root of 1364642400 is about 1109.1908720663.

The spelling of 1364642400 in words is "one billion, three hundred sixty-four million, six hundred forty-two thousand, four hundred".