364226040 has 96 divisors (see below), whose sum is σ = 1189216080. Its totient is φ = 96677376.

The previous prime is 364226033. The next prime is 364226041. The reversal of 364226040 is 40622463.

364226040 is a `hidden beast` number, since 36 + 4 + 22 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 364225995 and 364226013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364226041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79492 + ... + 83948.

Almost surely, 2^364226040 is an apocalyptic number.

364226040 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 364226040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594608040).

364226040 is an abundant number, since it is smaller than the sum of its proper divisors (824990040).

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

364226040 is a wasteful number, since it uses less digits than its factorization.

364226040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4694 counting only the distinct ones).

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

The square root of 364226040 is about 19084.7069665740. The cubic root of 364226040 is about 714.1514637596.

The spelling of 364226040 in words is "three hundred sixty-four million, two hundred twenty-six thousand, forty".