1364414400 has 252 divisors, whose sum is σ = 4969879824. Its totient is φ = 354816000.

The previous prime is 1364414393. The next prime is 1364414413. The reversal of 1364414400 is 44144631.

1364414400 is a `hidden beast` number, since 1 + 3 + 644 + 14 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589245 + ... + 591555.

Almost surely, 2^1364414400 is an apocalyptic number.

1364414400 is a gapful number since it is divisible by the number (10) 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 1364414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484939912).

1364414400 is an abundant number, since it is smaller than the sum of its proper divisors (3605465424).

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

1364414400 is a wasteful number, since it uses less digits than its factorization.

1364414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1364414400 is about 36937.9804537281. The cubic root of 1364414400 is about 1109.1290952950.

The spelling of 1364414400 in words is "one billion, three hundred sixty-four million, four hundred fourteen thousand, four hundred".