1238462400 has 672 divisors, whose sum is σ = 5079674880. Its totient is φ = 258048000.

The previous prime is 1238462387. The next prime is 1238462413. The reversal of 1238462400 is 42648321.

It is an interprime number because it is at equal distance from previous prime (1238462387) and next prime (1238462413).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30206380 + ... + 30206420.

It is an arithmetic number, because the mean of its divisors is an integer number (7559040).

Almost surely, 2^1238462400 is an apocalyptic number.

1238462400 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 1238462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539837440).

1238462400 is an abundant number, since it is smaller than the sum of its proper divisors (3841212480).

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

1238462400 is a wasteful number, since it uses less digits than its factorization.

1238462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1238462400 is about 35191.7944981497. The cubic root of 1238462400 is about 1073.8928279952.

The spelling of 1238462400 in words is "one billion, two hundred thirty-eight million, four hundred sixty-two thousand, four hundred".