5904253440 has 240 divisors, whose sum is σ = 20788252056. Its totient is φ = 1548288000.

The previous prime is 5904253409. The next prime is 5904253441. The reversal of 5904253440 is 443524095.

It is a happy number.

5904253440 is a `hidden beast` number, since 590 + 4 + 25 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1522872576 + 4381380864 = 39024^2 + 66192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5904253395 and 5904253404.

It is not an unprimeable number, because it can be changed into a prime (5904253441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403340 + ... + 1407540.

Almost surely, 2^5904253440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5904253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394126028).

5904253440 is an abundant number, since it is smaller than the sum of its proper divisors (14883998616).

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

5904253440 is a wasteful number, since it uses less digits than its factorization.

5904253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5904253440 is about 76839.1400264214. The cubic root of 5904253440 is about 1807.4029929056.

The spelling of 5904253440 in words is "five billion, nine hundred four million, two hundred fifty-three thousand, four hundred forty".