58439040 has 128 divisors (see below), whose sum is σ = 203281920. Its totient is φ = 14161920.

The previous prime is 58439027. The next prime is 58439053. The reversal of 58439040 is 4093485.

It is an interprime number because it is at equal distance from previous prime (58439027) and next prime (58439053).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×58439040² = 6830242792243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 58438992 and 58439010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19737 + ... + 22503.

It is an arithmetic number, because the mean of its divisors is an integer number (1588140).

Almost surely, 2^58439040 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 58439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640960).

58439040 is an abundant number, since it is smaller than the sum of its proper divisors (144842880).

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

58439040 is a wasteful number, since it uses less digits than its factorization.

58439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 58439040 is about 7644.5431518175. The cubic root of 58439040 is about 388.0619166431.

The spelling of 58439040 in words is "fifty-eight million, four hundred thirty-nine thousand, forty".