1900932264 has 432 divisors, whose sum is σ = 6782417460. Its totient is φ = 479001600.

The previous prime is 1900932263. The next prime is 1900932283. The reversal of 1900932264 is 4622390091.

1900932264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1767529764 + 133402500 = 42042^2 + 11550^2 .

It is a super-2 number, since 2×1900932264² = 7227086944632331392, which contains 22 as substring.

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 (1900932263) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26040132 + ... + 26040204.

Almost surely, 2^1900932264 is an apocalyptic number.

1900932264 is a gapful number since it is divisible by the number (14) 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 1900932264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391208730).

1900932264 is an abundant number, since it is smaller than the sum of its proper divisors (4881485196).

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

1900932264 is a wasteful number, since it uses less digits than its factorization.

1900932264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1900932264 is about 43599.6819254453. The cubic root of 1900932264 is about 1238.7648696778.

The spelling of 1900932264 in words is "one billion, nine hundred million, nine hundred thirty-two thousand, two hundred sixty-four".