309953464380 has 672 divisors, whose sum is σ = 1140172830720. Its totient is φ = 69289758720.

The previous prime is 309953464361. The next prime is 309953464481. The reversal of 309953464380 is 83464359903.

309953464380 is a `hidden beast` number, since 30 + 99 + 53 + 46 + 438 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1296876301 + ... + 1296876539.

It is an arithmetic number, because the mean of its divisors is an integer number (1696685760).

Almost surely, 2^309953464380 is an apocalyptic number.

309953464380 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 309953464380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570086415360).

309953464380 is an abundant number, since it is smaller than the sum of its proper divisors (830219366340).

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

309953464380 is a wasteful number, since it uses less digits than its factorization.

309953464380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 309953464380 in words is "three hundred nine billion, nine hundred fifty-three million, four hundred sixty-four thousand, three hundred eighty".