1795465440 has 480 divisors, whose sum is σ = 6761905920. Its totient is φ = 447897600.

The previous prime is 1795465423. The next prime is 1795465447. The reversal of 1795465440 is 445645971.

1795465440 is a `hidden beast` number, since 17 + 9 + 546 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1795465440² = 6447392292468787200, which contains 22 as substring.

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 (1795465447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16472106 + ... + 16472214.

It is an arithmetic number, because the mean of its divisors is an integer number (14087304).

Almost surely, 2^1795465440 is an apocalyptic number.

1795465440 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 1795465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380952960).

1795465440 is an abundant number, since it is smaller than the sum of its proper divisors (4966440480).

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

1795465440 is a wasteful number, since it uses less digits than its factorization.

1795465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1795465440 is about 42372.9328699348. The cubic root of 1795465440 is about 1215.4180545855.

The spelling of 1795465440 in words is "one billion, seven hundred ninety-five million, four hundred sixty-five thousand, four hundred forty".