305742900 has 144 divisors (see below), whose sum is σ = 917066304. Its totient is φ = 78597120.

The previous prime is 305742883. The next prime is 305742923. The reversal of 305742900 is 9247503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767214 + ... + 1767386.

It is an arithmetic number, because the mean of its divisors is an integer number (6368516).

Almost surely, 2^305742900 is an apocalyptic number.

305742900 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 305742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458533152).

305742900 is an abundant number, since it is smaller than the sum of its proper divisors (611323404).

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

305742900 is a wasteful number, since it uses less digits than its factorization.

305742900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 305742900 is about 17485.5054259235. The cubic root of 305742900 is about 673.6776305617.

The spelling of 305742900 in words is "three hundred five million, seven hundred forty-two thousand, nine hundred".