46288242 has 144 divisors (see below), whose sum is σ = 137434752. Its totient is φ = 11067840.

The previous prime is 46288241. The next prime is 46288283. The reversal of 46288242 is 24288264.

It is a happy number.

46288242 is a `hidden beast` number, since 4 + 628 + 8 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46288197 and 46288206.

It is not an unprimeable number, because it can be changed into a prime (46288241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125943 + ... + 126309.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 2^46288242 is an apocalyptic number.

46288242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46288242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717376).

46288242 is an abundant number, since it is smaller than the sum of its proper divisors (91146510).

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

46288242 is a wasteful number, since it uses less digits than its factorization.

46288242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 46288242 is about 6803.5462811684. The cubic root of 46288242 is about 359.0516241846.

The spelling of 46288242 in words is "forty-six million, two hundred eighty-eight thousand, two hundred forty-two".