1946408120 has 64 divisors (see below), whose sum is σ = 4600419840. Its totient is φ = 739728000.

The previous prime is 1946408071. The next prime is 1946408137. The reversal of 1946408120 is 218046491.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131915 + ... + 145925.

It is an arithmetic number, because the mean of its divisors is an integer number (71881560).

Almost surely, 2^1946408120 is an apocalyptic number.

1946408120 is a gapful number since it is divisible by the number (10) 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 1946408120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300209920).

1946408120 is an abundant number, since it is smaller than the sum of its proper divisors (2654011720).

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

1946408120 is a wasteful number, since it uses less digits than its factorization.

1946408120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1946408120 is about 44118.1155535909. The cubic root of 1946408120 is about 1248.5654198136.

The spelling of 1946408120 in words is "one billion, nine hundred forty-six million, four hundred eight thousand, one hundred twenty".