399463780800 has 336 divisors, whose sum is σ = 1538284797440. Its totient is φ = 88838000640.

The previous prime is 399463780789. The next prime is 399463780801. The reversal of 399463780800 is 8087364993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399463780801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082541 + ... + 1403859.

Almost surely, 2^399463780800 is an apocalyptic number.

399463780800 is a gapful number since it is divisible by the number (30) 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 399463780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769142398720).

399463780800 is an abundant number, since it is smaller than the sum of its proper divisors (1138821016640).

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

399463780800 is a wasteful number, since it uses less digits than its factorization.

399463780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321388 (or 321373 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 399463780800 in words is "three hundred ninety-nine billion, four hundred sixty-three million, seven hundred eighty thousand, eight hundred".