59949408 has 96 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 18095616.

The previous prime is 59949377. The next prime is 59949433. The reversal of 59949408 is 80494995.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 41238 + ... + 42666.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^59949408 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 59949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

59949408 is an abundant number, since it is smaller than the sum of its proper divisors (113023392).

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

59949408 is a wasteful number, since it uses less digits than its factorization.

59949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 59949408 is about 7742.7003041575. The cubic root of 59949408 is about 391.3766992957.

The spelling of 59949408 in words is "fifty-nine million, nine hundred forty-nine thousand, four hundred eight".