59485440 has 144 divisors (see below), whose sum is σ = 217219968. Its totient is φ = 13590528.

The previous prime is 59485423. The next prime is 59485457. The reversal of 59485440 is 4458495.

It is an interprime number because it is at equal distance from previous prime (59485423) and next prime (59485457).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 25774 + ... + 27986.

It is an arithmetic number, because the mean of its divisors is an integer number (1508472).

Almost surely, 2^59485440 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 59485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108609984).

59485440 is an abundant number, since it is smaller than the sum of its proper divisors (157734528).

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

59485440 is a wasteful number, since it uses less digits than its factorization.

59485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 59485440 is about 7712.6804679048. The cubic root of 59485440 is about 390.3644194036.

The spelling of 59485440 in words is "fifty-nine million, four hundred eighty-five thousand, four hundred forty".