364241400 has 192 divisors, whose sum is σ = 1205280000. Its totient is φ = 90731520.

The previous prime is 364241369. The next prime is 364241401. The reversal of 364241400 is 4142463.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364241401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014421 + ... + 1014779.

It is an arithmetic number, because the mean of its divisors is an integer number (6277500).

Almost surely, 2^364241400 is an apocalyptic number.

364241400 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 364241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640000).

364241400 is an abundant number, since it is smaller than the sum of its proper divisors (841038600).

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

364241400 is a wasteful number, since it uses less digits than its factorization.

364241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 364241400 is about 19085.1093787801. The cubic root of 364241400 is about 714.1615025918.

Adding to 364241400 its reverse (4142463), we get a palindrome (368383863).

The spelling of 364241400 in words is "three hundred sixty-four million, two hundred forty-one thousand, four hundred".