1900416 has 96 divisors (see below), whose sum is σ = 5930280. Its totient is φ = 537600.

The previous prime is 1900397. The next prime is 1900429. The reversal of 1900416 is 6140091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1900416² = 7223161946112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1900392 and 1900401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18766 + ... + 18866.

2^1900416 is an apocalyptic number.

1900416 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 1900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965140).

1900416 is an abundant number, since it is smaller than the sum of its proper divisors (4029864).

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

1900416 is a wasteful number, since it uses less digits than its factorization.

1900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1900416 is about 1378.5557660102. Note that the first 3 decimals coincide. The cubic root of 1900416 is about 123.8652716355.

The spelling of 1900416 in words is "one million, nine hundred thousand, four hundred sixteen".