398822400 has 264 divisors, whose sum is σ = 1467125840. Its totient is φ = 106168320.

The previous prime is 398822399. The next prime is 398822419. The reversal of 398822400 is 4228893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690912 + ... + 691488.

Almost surely, 2^398822400 is an apocalyptic number.

398822400 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 398822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733562920).

398822400 is an abundant number, since it is smaller than the sum of its proper divisors (1068303440).

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

398822400 is a wasteful number, since it uses less digits than its factorization.

398822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 398822400 is about 19970.5383002061. The cubic root of 398822400 is about 736.0825364275.

The spelling of 398822400 in words is "three hundred ninety-eight million, eight hundred twenty-two thousand, four hundred".