1364054400 has 144 divisors (see below), whose sum is σ = 4867361460. Its totient is φ = 363740160.

The previous prime is 1364054359. The next prime is 1364054401. The reversal of 1364054400 is 44504631.

1364054400 is a `hidden beast` number, since 13 + 640 + 5 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364054401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5119 + ... + 52481.

Almost surely, 2^1364054400 is an apocalyptic number.

1364054400 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 1364054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433680730).

1364054400 is an abundant number, since it is smaller than the sum of its proper divisors (3503307060).

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

1364054400 is a wasteful number, since it uses less digits than its factorization.

1364054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47393 (or 47373 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1364054400 is about 36933.1070991868. The cubic root of 1364054400 is about 1109.0315390108.

The spelling of 1364054400 in words is "one billion, three hundred sixty-four million, fifty-four thousand, four hundred".