42906240 has 256 divisors, whose sum is σ = 164505600. Its totient is φ = 10506240.

The previous prime is 42906239. The next prime is 42906257. The reversal of 42906240 is 4260924.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224545 + ... + 224735.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^42906240 is an apocalyptic number.

42906240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

42906240 is an abundant number, since it is smaller than the sum of its proper divisors (121599360).

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

42906240 is a wasteful number, since it uses less digits than its factorization.

42906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42906240 is about 6550.2854899615. The cubic root of 42906240 is about 350.0849861649.

The spelling of 42906240 in words is "forty-two million, nine hundred six thousand, two hundred forty".