398987400 has 288 divisors, whose sum is σ = 1478342880. Its totient is φ = 88704000.

The previous prime is 398987389. The next prime is 398987419. The reversal of 398987400 is 4789893.

It is a self number, because there is not a number n which added to its sum of digits gives 398987400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1205235 + ... + 1205565.

It is an arithmetic number, because the mean of its divisors is an integer number (5133135).

Almost surely, 2^398987400 is an apocalyptic number.

398987400 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 398987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739171440).

398987400 is an abundant number, since it is smaller than the sum of its proper divisors (1079355480).

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

398987400 is a wasteful number, since it uses less digits than its factorization.

398987400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 398987400 is about 19974.6689584584. The cubic root of 398987400 is about 736.1840326267.

The spelling of 398987400 in words is "three hundred ninety-eight million, nine hundred eighty-seven thousand, four hundred".