59442240 has 224 divisors, whose sum is σ = 222235776. Its totient is φ = 13271040.

The previous prime is 59442233. The next prime is 59442247. The reversal of 59442240 is 4224495.

It is an interprime number because it is at equal distance from previous prime (59442233) and next prime (59442247).

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

It is a junction number, because it is equal to n+sod(n) for n = 59442198 and 59442207.

It is not an unprimeable number, because it can be changed into a prime (59442247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137064 + ... + 137496.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^59442240 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 59442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111117888).

59442240 is an abundant number, since it is smaller than the sum of its proper divisors (162793536).

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

59442240 is a wasteful number, since it uses less digits than its factorization.

59442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 59442240 is about 7709.8793764883. The cubic root of 59442240 is about 390.2698986442.

The spelling of 59442240 in words is "fifty-nine million, four hundred forty-two thousand, two hundred forty".