1364628420 has 288 divisors, whose sum is σ = 4581813600. Its totient is φ = 327352320.

The previous prime is 1364628407. The next prime is 1364628527. The reversal of 1364628420 is 248264631.

1364628420 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 628 + 4 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 677769156 + 686859264 = 26034^2 + 26208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9158506 + ... + 9158654.

It is an arithmetic number, because the mean of its divisors is an integer number (15909075).

Almost surely, 2^1364628420 is an apocalyptic number.

1364628420 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 1364628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290906800).

1364628420 is an abundant number, since it is smaller than the sum of its proper divisors (3217185180).

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

1364628420 is a wasteful number, since it uses less digits than its factorization.

1364628420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1364628420 is about 36940.8773582870. The cubic root of 1364628420 is about 1109.1870843728.

The spelling of 1364628420 in words is "one billion, three hundred sixty-four million, six hundred twenty-eight thousand, four hundred twenty".