1900409616 has 240 divisors, whose sum is σ = 6383623168. Its totient is φ = 516326400.

The previous prime is 1900409579. The next prime is 1900409633. The reversal of 1900409616 is 6169040091.

1900409616 is a `hidden beast` number, since 190 + 0 + 409 + 61 + 6 = 666.

It is a super-2 number, since 2×1900409616² = 7223113417170534912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905630 + ... + 1906626.

Almost surely, 2^1900409616 is an apocalyptic number.

1900409616 is a gapful number since it is divisible by the number (16) 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 1900409616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191811584).

1900409616 is an abundant number, since it is smaller than the sum of its proper divisors (4483213552).

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

1900409616 is a wasteful number, since it uses less digits than its factorization.

1900409616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1900409616 is about 43593.6877999556. The cubic root of 1900409616 is about 1238.6513293658.

The spelling of 1900409616 in words is "one billion, nine hundred million, four hundred nine thousand, six hundred sixteen".