369325440 has 512 divisors, whose sum is σ = 1498176000. Its totient is φ = 85155840.

The previous prime is 369325403. The next prime is 369325447. The reversal of 369325440 is 44523963.

369325440 is a `hidden beast` number, since 369 + 3 + 254 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 369325395 and 369325404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369325447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5512287 + ... + 5512353.

It is an arithmetic number, because the mean of its divisors is an integer number (2926125).

Almost surely, 2^369325440 is an apocalyptic number.

369325440 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 369325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749088000).

369325440 is an abundant number, since it is smaller than the sum of its proper divisors (1128850560).

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

369325440 is a wasteful number, since it uses less digits than its factorization.

369325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 369325440 is about 19217.8417102442. The cubic root of 369325440 is about 717.4688902649.

The spelling of 369325440 in words is "three hundred sixty-nine million, three hundred twenty-five thousand, four hundred forty".