400098400 has 288 divisors, whose sum is σ = 1165425408. Its totient is φ = 132710400.

The previous prime is 400098373. The next prime is 400098401. The reversal of 400098400 is 4890004.

It is a Harshad number since it is a multiple of its sum of digits (25).

400098400 is a modest number, since divided by 98400 gives 4000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400098401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480764 + ... + 5480836.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2^400098400 is an apocalyptic number.

400098400 is a gapful number since it is divisible by the number (40) 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 400098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582712704).

400098400 is an abundant number, since it is smaller than the sum of its proper divisors (765327008).

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

400098400 is a wasteful number, since it uses less digits than its factorization.

400098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 400098400 is about 20002.4598487286. The cubic root of 400098400 is about 736.8667128910.

It can be divided in two parts, 4000 and 98400, that added together give a square (102400 = 320²).

The spelling of 400098400 in words is "four hundred million, ninety-eight thousand, four hundred".