309874464 has 192 divisors, whose sum is σ = 943850880. Its totient is φ = 98841600.

The previous prime is 309874463. The next prime is 309874471. The reversal of 309874464 is 464478903.

309874464 is a `hidden beast` number, since 30 + 98 + 74 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (309874463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068014 + ... + 3068114.

It is an arithmetic number, because the mean of its divisors is an integer number (4915890).

Almost surely, 2^309874464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471925440).

309874464 is an abundant number, since it is smaller than the sum of its proper divisors (633976416).

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

309874464 is a wasteful number, since it uses less digits than its factorization.

309874464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 309874464 is about 17603.2515178304. The cubic root of 309874464 is about 676.6985764218.

The spelling of 309874464 in words is "three hundred nine million, eight hundred seventy-four thousand, four hundred sixty-four".