398818261200 has 480 divisors, whose sum is σ = 1448581570560. Its totient is φ = 93260851200.

The previous prime is 398818261199. The next prime is 398818261201. The reversal of 398818261200 is 2162818893.

It is an interprime number because it is at equal distance from previous prime (398818261199) and next prime (398818261201).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 398818261200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398818261201) 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, 16244134 + ... + 16268666.

It is an arithmetic number, because the mean of its divisors is an integer number (3017878272).

Almost surely, 2^398818261200 is an apocalyptic number.

398818261200 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 398818261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724290785280).

398818261200 is an abundant number, since it is smaller than the sum of its proper divisors (1049763309360).

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

398818261200 is a wasteful number, since it uses less digits than its factorization.

398818261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24627 (or 24616 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 398818261200 in words is "three hundred ninety-eight billion, eight hundred eighteen million, two hundred sixty-one thousand, two hundred".