364106400 has 144 divisors (see below), whose sum is σ = 1354538304. Its totient is φ = 83220480.

The previous prime is 364106371. The next prime is 364106417. The reversal of 364106400 is 4601463.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5964 + ... + 27636.

It is an arithmetic number, because the mean of its divisors is an integer number (9406516).

Almost surely, 2^364106400 is an apocalyptic number.

364106400 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 364106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677269152).

364106400 is an abundant number, since it is smaller than the sum of its proper divisors (990431904).

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

364106400 is a wasteful number, since it uses less digits than its factorization.

364106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21703 (or 21690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 364106400 is about 19081.5722622639. The cubic root of 364106400 is about 714.0732610058.

Adding to 364106400 its reverse (4601463), we get a palindrome (368707863).

The spelling of 364106400 in words is "three hundred sixty-four million, one hundred six thousand, four hundred".