1230955440 has 480 divisors, whose sum is σ = 4705413120. Its totient is φ = 263577600.

The previous prime is 1230955403. The next prime is 1230955447. The reversal of 1230955440 is 445590321.

1230955440 is digitally balanced in base 4 and base 6, because in such bases 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230955447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13830916 + ... + 13831004.

It is an arithmetic number, because the mean of its divisors is an integer number (9802944).

Almost surely, 2^1230955440 is an apocalyptic number.

1230955440 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 1230955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352706560).

1230955440 is an abundant number, since it is smaller than the sum of its proper divisors (3474457680).

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

1230955440 is a wasteful number, since it uses less digits than its factorization.

1230955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1230955440 is about 35084.9745617693. The cubic root of 1230955440 is about 1071.7186227797.

The spelling of 1230955440 in words is "one billion, two hundred thirty million, nine hundred fifty-five thousand, four hundred forty".