398174400 has 336 divisors, whose sum is σ = 1565351200. Its totient is φ = 97873920.

The previous prime is 398174363. The next prime is 398174417. The reversal of 398174400 is 4471893.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 561246 + ... + 561954.

Almost surely, 2^398174400 is an apocalyptic number.

398174400 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 398174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782675600).

398174400 is an abundant number, since it is smaller than the sum of its proper divisors (1167176800).

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

398174400 is a wasteful number, since it uses less digits than its factorization.

398174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 398174400 is about 19954.3078055842. The cubic root of 398174400 is about 735.6836621019.

The spelling of 398174400 in words is "three hundred ninety-eight million, one hundred seventy-four thousand, four hundred".