1230680400 has 120 divisors (see below), whose sum is σ = 3969314400. Its totient is φ = 325931520.

The previous prime is 1230680393. The next prime is 1230680443. The reversal of 1230680400 is 40860321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175359 + ... + 182241.

It is an arithmetic number, because the mean of its divisors is an integer number (33077620).

Almost surely, 2^1230680400 is an apocalyptic number.

1230680400 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 1230680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984657200).

1230680400 is an abundant number, since it is smaller than the sum of its proper divisors (2738634000).

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

1230680400 is a wasteful number, since it uses less digits than its factorization.

1230680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1230680400 is about 35081.0547161855. The cubic root of 1230680400 is about 1071.6387965903.

The spelling of 1230680400 in words is "one billion, two hundred thirty million, six hundred eighty thousand, four hundred".