1900764450 has 144 divisors (see below), whose sum is σ = 5555722536. Its totient is φ = 463104000.

The previous prime is 1900764449. The next prime is 1900764451. The reversal of 1900764450 is 544670091.

1900764450 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 7 + 644 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1900764449) and next prime (1900764451).

It can be written as a sum of positive squares in 12 ways, for example, as 574129521 + 1326634929 = 23961^2 + 36423^2 .

It is a super-4 number, since 4×1900764450⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1900764451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 589242 + ... + 592458.

Almost surely, 2^1900764450 is an apocalyptic number.

1900764450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900764450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777861268).

1900764450 is an abundant number, since it is smaller than the sum of its proper divisors (3654958086).

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

1900764450 is a wasteful number, since it uses less digits than its factorization.

1900764450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1900764450 is about 43597.7573964533. The cubic root of 1900764450 is about 1238.7284159494.

The spelling of 1900764450 in words is "one billion, nine hundred million, seven hundred sixty-four thousand, four hundred fifty".