1944700416 has 240 divisors, whose sum is σ = 5974974720. Its totient is φ = 607580160.

The previous prime is 1944700399. The next prime is 1944700421. The reversal of 1944700416 is 6140074491.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6252901 + ... + 6253211.

It is an arithmetic number, because the mean of its divisors is an integer number (24895728).

Almost surely, 2^1944700416 is an apocalyptic number.

1944700416 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 1944700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987487360).

1944700416 is an abundant number, since it is smaller than the sum of its proper divisors (4030274304).

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

1944700416 is a wasteful number, since it uses less digits than its factorization.

1944700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1944700416 is about 44098.7575335179. The cubic root of 1944700416 is about 1248.2001651327.

The spelling of 1944700416 in words is "one billion, nine hundred forty-four million, seven hundred thousand, four hundred sixteen".