1864765440 has 312 divisors, whose sum is σ = 6603649728. Its totient is φ = 486604800.

The previous prime is 1864765429. The next prime is 1864765447. The reversal of 1864765440 is 445674681.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864765447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12349365 + ... + 12349515.

It is an arithmetic number, because the mean of its divisors is an integer number (21165544).

Almost surely, 2^1864765440 is an apocalyptic number.

1864765440 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 1864765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301824864).

1864765440 is an abundant number, since it is smaller than the sum of its proper divisors (4738884288).

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

1864765440 is a wasteful number, since it uses less digits than its factorization.

1864765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1864765440 is about 43182.9299608074. The cubic root of 1864765440 is about 1230.8583340619.

The spelling of 1864765440 in words is "one billion, eight hundred sixty-four million, seven hundred sixty-five thousand, four hundred forty".