58440900 has 144 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 12564480.

The previous prime is 58440869. The next prime is 58440911. The reversal of 58440900 is 904485.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34882 + ... + 36518.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^58440900 is an apocalyptic number.

58440900 is a gapful number since it is divisible by the number (50) 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 58440900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

58440900 is an abundant number, since it is smaller than the sum of its proper divisors (146295996).

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

58440900 is a wasteful number, since it uses less digits than its factorization.

58440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58440900 is about 7644.6648062554. The cubic root of 58440900 is about 388.0660336826.

It can be divided in two parts, 58440 and 900, that added together give a triangular number (59340 = T₃₄₄).

The spelling of 58440900 in words is "fifty-eight million, four hundred forty thousand, nine hundred".