398795400 has 240 divisors, whose sum is σ = 1404374400. Its totient is φ = 104872320.

The previous prime is 398795399. The next prime is 398795417. The reversal of 398795400 is 4597893.

398795400 is a `hidden beast` number, since 39 + 8 + 79 + 540 + 0 = 666.

It is a super-2 number, since 2×398795400² = 318075542122320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1668481 + ... + 1668719.

It is an arithmetic number, because the mean of its divisors is an integer number (5851560).

Almost surely, 2^398795400 is an apocalyptic number.

398795400 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 398795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702187200).

398795400 is an abundant number, since it is smaller than the sum of its proper divisors (1005579000).

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

398795400 is a wasteful number, since it uses less digits than its factorization.

398795400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 398795400 is about 19969.8622929654. The cubic root of 398795400 is about 736.0659252935.

The spelling of 398795400 in words is "three hundred ninety-eight million, seven hundred ninety-five thousand, four hundred".