1230914880 has 420 divisors, whose sum is σ = 4758176412. Its totient is φ = 301916160.

The previous prime is 1230914849. The next prime is 1230914911. The reversal of 1230914880 is 884190321.

It is an interprime number because it is at equal distance from previous prime (1230914849) and next prime (1230914911).

It can be written as a sum of positive squares in 6 ways, for example, as 162409536 + 1068505344 = 12744^2 + 32688^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380340 + ... + 4380620.

Almost surely, 2^1230914880 is an apocalyptic number.

1230914880 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 1230914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379088206).

1230914880 is an abundant number, since it is smaller than the sum of its proper divisors (3527261532).

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

1230914880 is a wasteful number, since it uses less digits than its factorization.

1230914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1230914880 is about 35084.3965317917. The cubic root of 1230914880 is about 1071.7068516023.

The spelling of 1230914880 in words is "one billion, two hundred thirty million, nine hundred fourteen thousand, eight hundred eighty".