1655500440 has 256 divisors, whose sum is σ = 5839257600. Its totient is φ = 371289600.

The previous prime is 1655500439. The next prime is 1655500519. The reversal of 1655500440 is 440055561.

1655500440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1655500398 and 1655500407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940281 + ... + 942039.

It is an arithmetic number, because the mean of its divisors is an integer number (22809600).

Almost surely, 2^1655500440 is an apocalyptic number.

1655500440 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 1655500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919628800).

1655500440 is an abundant number, since it is smaller than the sum of its proper divisors (4183757160).

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

1655500440 is a wasteful number, since it uses less digits than its factorization.

1655500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1655500440 is about 40687.8414271389. The cubic root of 1655500440 is about 1182.9773610656.

The spelling of 1655500440 in words is "one billion, six hundred fifty-five million, five hundred thousand, four hundred forty".