1905472512 has 110 divisors (see below), whose sum is σ = 5690361138. Its totient is φ = 635129856.

The previous prime is 1905472507. The next prime is 1905472519. The reversal of 1905472512 is 2152745091.

1905472512 is a `hidden beast` number, since 1 + 90 + 54 + 7 + 2 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1672482816 + 232989696 = 40896^2 + 15264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905472519) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 71458 + ... + 94430.

Almost surely, 2^1905472512 is an apocalyptic number.

1905472512 is a gapful number since it is divisible by the number (12) 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 1905472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845180569).

1905472512 is an abundant number, since it is smaller than the sum of its proper divisors (3784888626).

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

1905472512 is an equidigital number, since it uses as much as digits as its factorization.

1905472512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23005 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1905472512 is about 43651.7183166940. The cubic root of 1905472512 is about 1239.7503208706.

The spelling of 1905472512 in words is "one billion, nine hundred five million, four hundred seventy-two thousand, five hundred twelve".