305465472 has 192 divisors, whose sum is σ = 978098400. Its totient is φ = 93809664.

The previous prime is 305465467. The next prime is 305465473. The reversal of 305465472 is 274564503.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (305465473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583803 + ... + 584325.

Almost surely, 2^305465472 is an apocalyptic number.

305465472 is a gapful number since it is divisible by the number (32) 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 305465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489049200).

305465472 is an abundant number, since it is smaller than the sum of its proper divisors (672632928).

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

305465472 is a wasteful number, since it uses less digits than its factorization.

305465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 305465472 is about 17477.5705405528. The cubic root of 305465472 is about 673.4738061549.

The spelling of 305465472 in words is "three hundred five million, four hundred sixty-five thousand, four hundred seventy-two".