59405472 has 144 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 16713216.

The previous prime is 59405459. The next prime is 59405477. The reversal of 59405472 is 27450495.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59405477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 159078 + ... + 159450.

It is an arithmetic number, because the mean of its divisors is an integer number (1361360).

Almost surely, 2^59405472 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 59405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98017920).

59405472 is an abundant number, since it is smaller than the sum of its proper divisors (136630368).

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

59405472 is a wasteful number, since it uses less digits than its factorization.

59405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 59405472 is about 7707.4945345423. The cubic root of 59405472 is about 390.1894148936.

The spelling of 59405472 in words is "fifty-nine million, four hundred five thousand, four hundred seventy-two".