398473200 has 270 divisors, whose sum is σ = 1472774784. Its totient is φ = 99747840.

The previous prime is 398473147. The next prime is 398473211. The reversal of 398473200 is 2374893.

It is a super-2 number, since 2×398473200² = 317561782236480000, which contains 22 as substring.

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1040209 + ... + 1040591.

Almost surely, 2^398473200 is an apocalyptic number.

398473200 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 398473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736387392).

398473200 is an abundant number, since it is smaller than the sum of its proper divisors (1074301584).

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

398473200 is a wasteful number, since it uses less digits than its factorization.

398473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 398473200 is about 19961.7935065965. The cubic root of 398473200 is about 735.8676412112.

The spelling of 398473200 in words is "three hundred ninety-eight million, four hundred seventy-three thousand, two hundred".