58978440 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 14125056.

The previous prime is 58978433. The next prime is 58978487. The reversal of 58978440 is 4487985.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140551 + ... + 140969.

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

Almost surely, 2^58978440 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 58978440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

58978440 is an abundant number, since it is smaller than the sum of its proper divisors (153306360).

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

58978440 is a wasteful number, since it uses less digits than its factorization.

58978440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 58978440 is about 7679.7421831726. The cubic root of 58978440 is about 389.2522160345.

It can be divided in two parts, 589784 and 40, that added together give a square (589824 = 768²).

The spelling of 58978440 in words is "fifty-eight million, nine hundred seventy-eight thousand, four hundred forty".