1990414272 has 448 divisors, whose sum is σ = 7003865088. Its totient is φ = 483840000.

The previous prime is 1990414207. The next prime is 1990414337. The reversal of 1990414272 is 2724140991.

It is an interprime number because it is at equal distance from previous prime (1990414207) and next prime (1990414337).

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1990414272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19707022 + ... + 19707122.

Almost surely, 2^1990414272 is an apocalyptic number.

1990414272 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 1990414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501932544).

1990414272 is an abundant number, since it is smaller than the sum of its proper divisors (5013450816).

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

1990414272 is a wasteful number, since it uses less digits than its factorization.

1990414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1990414272 is about 44614.0591293821. The cubic root of 1990414272 is about 1257.9049487422.

The spelling of 1990414272 in words is "one billion, nine hundred ninety million, four hundred fourteen thousand, two hundred seventy-two".