300464640000 has 1820 divisors, whose sum is σ = 1342484717376. Its totient is φ = 65691648000.

The previous prime is 300464639957. The next prime is 300464640001. The reversal of 300464640000 is 46464003.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300464640001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 13063679989 + ... + 13063680011.

Almost surely, 2^300464640000 is an apocalyptic number.

300464640000 is a gapful number since it is divisible by the number (30) 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 300464640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671242358688).

300464640000 is an abundant number, since it is smaller than the sum of its proper divisors (1042020077376).

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

300464640000 is an frugal number, since it uses more digits than its factorization.

300464640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 300464640000 in words is "three hundred billion, four hundred sixty-four million, six hundred forty thousand".