398060400 has 120 divisors (see below), whose sum is σ = 1294413184. Its totient is φ = 104544000.

The previous prime is 398060363. The next prime is 398060401. The reversal of 398060400 is 4060893.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398060401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77925 + ... + 82875.

Almost surely, 2^398060400 is an apocalyptic number.

398060400 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 398060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647206592).

398060400 is an abundant number, since it is smaller than the sum of its proper divisors (896352784).

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

398060400 is a wasteful number, since it uses less digits than its factorization.

398060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 398060400 is about 19951.4510750471. The cubic root of 398060400 is about 735.6134450121.

The spelling of 398060400 in words is "three hundred ninety-eight million, sixty thousand, four hundred".