398687400 has 384 divisors, whose sum is σ = 1502582400. Its totient is φ = 96768000.

The previous prime is 398687381. The next prime is 398687407. The reversal of 398687400 is 4786893.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (398687407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3947350 + ... + 3947450.

It is an arithmetic number, because the mean of its divisors is an integer number (3912975).

Almost surely, 2^398687400 is an apocalyptic number.

398687400 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 398687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751291200).

398687400 is an abundant number, since it is smaller than the sum of its proper divisors (1103895000).

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

398687400 is a wasteful number, since it uses less digits than its factorization.

398687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 398687400 is about 19967.1580351336. The cubic root of 398687400 is about 735.9994732589. Note that the first 3 decimals are identical.

The spelling of 398687400 in words is "three hundred ninety-eight million, six hundred eighty-seven thousand, four hundred".