46468224 has 192 divisors, whose sum is σ = 154346400. Its totient is φ = 13271040.

The previous prime is 46468207. The next prime is 46468229. The reversal of 46468224 is 42286464.

It is a happy number.

46468224 is a `hidden beast` number, since 4 + 646 + 8 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46468229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240672 + ... + 240864.

Almost surely, 2^46468224 is an apocalyptic number.

46468224 is a gapful number since it is divisible by the number (44) 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 46468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77173200).

46468224 is an abundant number, since it is smaller than the sum of its proper divisors (107878176).

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

46468224 is a wasteful number, since it uses less digits than its factorization.

46468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 46468224 is about 6816.7605209513. The cubic root of 46468224 is about 359.5163876588.

The spelling of 46468224 in words is "forty-six million, four hundred sixty-eight thousand, two hundred twenty-four".