53038440 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 11183616.

The previous prime is 53038439. The next prime is 53038441. The reversal of 53038440 is 4483035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53038439) and next prime (53038441).

It is a super-2 number, since 2×53038440² = 5626152235267200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53038441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31951 + ... + 33569.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^53038440 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 53038440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

53038440 is an abundant number, since it is smaller than the sum of its proper divisors (159246360).

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

53038440 is a wasteful number, since it uses less digits than its factorization.

53038440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1649 counting only the distinct ones).

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

The square root of 53038440 is about 7282.7494807936. The cubic root of 53038440 is about 375.7193658185.

The spelling of 53038440 in words is "fifty-three million, thirty-eight thousand, four hundred forty".