305538480 has 420 divisors, whose sum is σ = 1190513088. Its totient is φ = 72783360.

The previous prime is 305538473. The next prime is 305538503. The reversal of 305538480 is 84835503.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9856065 + ... + 9856095.

Almost surely, 2^305538480 is an apocalyptic number.

305538480 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 305538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595256544).

305538480 is an abundant number, since it is smaller than the sum of its proper divisors (884974608).

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

305538480 is a wasteful number, since it uses less digits than its factorization.

305538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 305538480 is about 17479.6590355762. The cubic root of 305538480 is about 673.5274565818.

The spelling of 305538480 in words is "three hundred five million, five hundred thirty-eight thousand, four hundred eighty".