305390400 has 336 divisors, whose sum is σ = 1171651200. Its totient is φ = 68198400.

The previous prime is 305390381. The next prime is 305390413. The reversal of 305390400 is 4093503.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049526 + ... + 2049674.

Almost surely, 2^305390400 is an apocalyptic number.

305390400 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 305390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585825600).

305390400 is an abundant number, since it is smaller than the sum of its proper divisors (866260800).

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

305390400 is a wasteful number, since it uses less digits than its factorization.

305390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 305390400 is about 17475.4227416678. The cubic root of 305390400 is about 673.4186300683.

The spelling of 305390400 in words is "three hundred five million, three hundred ninety thousand, four hundred".