398787100 has 72 divisors (see below), whose sum is σ = 899192448. Its totient is φ = 153350400.

The previous prime is 398787097. The next prime is 398787107. The reversal of 398787100 is 1787893.

It is a super-2 number, since 2×398787100² = 318062302252820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398787107) 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, 610374 + ... + 611026.

It is an arithmetic number, because the mean of its divisors is an integer number (12488784).

Almost surely, 2^398787100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398787100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449596224).

398787100 is an abundant number, since it is smaller than the sum of its proper divisors (500405348).

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

398787100 is a wasteful number, since it uses less digits than its factorization.

398787100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 398787100 is about 19969.6544787335. The cubic root of 398787100 is about 736.0608187572.

The spelling of 398787100 in words is "three hundred ninety-eight million, seven hundred eighty-seven thousand, one hundred".