1364482900 has 144 divisors (see below), whose sum is σ = 3452404032. Its totient is φ = 462592000.

The previous prime is 1364482871. The next prime is 1364482907. The reversal of 1364482900 is 92844631.

It is a self number, because there is not a number n which added to its sum of digits gives 1364482900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364482907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2449422 + ... + 2449978.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028).

Almost surely, 2^1364482900 is an apocalyptic number.

1364482900 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 1364482900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726202016).

1364482900 is an abundant number, since it is smaller than the sum of its proper divisors (2087921132).

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

1364482900 is a wasteful number, since it uses less digits than its factorization.

1364482900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1364482900 is about 36938.9076719927. The cubic root of 1364482900 is about 1109.1476561446.

The spelling of 1364482900 in words is "one billion, three hundred sixty-four million, four hundred eighty-two thousand, nine hundred".