1940456700 has 864 divisors, whose sum is σ = 8341132800. Its totient is φ = 365783040.

The previous prime is 1940456689. The next prime is 1940456701. The reversal of 1940456700 is 76540491.

1940456700 is a `hidden beast` number, since 1 + 94 + 0 + 4 + 567 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940456701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45126879 + ... + 45126921.

Almost surely, 2^1940456700 is an apocalyptic number.

1940456700 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 1940456700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170566400).

1940456700 is an abundant number, since it is smaller than the sum of its proper divisors (6400676100).

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

1940456700 is a wasteful number, since it uses less digits than its factorization.

1940456700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1940456700 is about 44050.6152056926. The cubic root of 1940456700 is about 1247.2915650761.

The spelling of 1940456700 in words is "one billion, nine hundred forty million, four hundred fifty-six thousand, seven hundred".