1900633488 has 160 divisors (see below), whose sum is σ = 5418403200. Its totient is φ = 573940224.

The previous prime is 1900633481. The next prime is 1900633489. The reversal of 1900633488 is 8843360091.

It is a happy number.

It is a super-2 number, since 2×1900633488² = 7224815311414092288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900633481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7065418 + ... + 7065686.

It is an arithmetic number, because the mean of its divisors is an integer number (33865020).

Almost surely, 2^1900633488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900633488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709201600).

1900633488 is an abundant number, since it is smaller than the sum of its proper divisors (3517769712).

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

1900633488 is a wasteful number, since it uses less digits than its factorization.

1900633488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1900633488 is about 43596.2554355302. The cubic root of 1900633488 is about 1238.6999659790.

The spelling of 1900633488 in words is "one billion, nine hundred million, six hundred thirty-three thousand, four hundred eighty-eight".