364046400 has 315 divisors, whose sum is σ = 1363867351. Its totient is φ = 95247360.

The previous prime is 364046387. The next prime is 364046407. The reversal of 364046400 is 4640463.

It is a happy number.

The square root of 364046400 is 19080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 361304064 = 1656^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364046407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6868774 + ... + 6868826.

Almost surely, 2^364046400 is an apocalyptic number.

364046400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

364046400 is the 19080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364046400

364046400 is an abundant number, since it is smaller than the sum of its proper divisors (999820951).

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

364046400 is an equidigital number, since it uses as much as digits as its factorization.

364046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The cubic root of 364046400 is about 714.0340355218.

Adding to 364046400 its reverse (4640463), we get a palindrome (368686863).

The spelling of 364046400 in words is "three hundred sixty-four million, forty-six thousand, four hundred".