361028400 has 60 divisors (see below), whose sum is σ = 1156498152. Its totient is φ = 96273920.

The previous prime is 361028399. The next prime is 361028419. The reversal of 361028400 is 4820163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149229 + ... + 151628.

Almost surely, 2^361028400 is an apocalyptic number.

361028400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361028400 is an abundant number, since it is smaller than the sum of its proper divisors (795469752).

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

361028400 is a wasteful number, since it uses less digits than its factorization.

361028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300878 (or 300867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 361028400 is about 19000.7473537227. The cubic root of 361028400 is about 712.0554074627.

Adding to 361028400 its reverse (4820163), we get a palindrome (365848563).

The spelling of 361028400 in words is "three hundred sixty-one million, twenty-eight thousand, four hundred".