398564400 has 240 divisors, whose sum is σ = 1423971360. Its totient is φ = 94617600.

The previous prime is 398564363. The next prime is 398564437. The reversal of 398564400 is 4465893.

It is an interprime number because it is at equal distance from previous prime (398564363) and next prime (398564437).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 451960 + ... + 452840.

It is an arithmetic number, because the mean of its divisors is an integer number (5933214).

Almost surely, 2^398564400 is an apocalyptic number.

398564400 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 398564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711985680).

398564400 is an abundant number, since it is smaller than the sum of its proper divisors (1025406960).

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

398564400 is a wasteful number, since it uses less digits than its factorization.

398564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 398564400 is about 19964.0777397805. The cubic root of 398564400 is about 735.9237771568.

The spelling of 398564400 in words is "three hundred ninety-eight million, five hundred sixty-four thousand, four hundred".