46422464 has 112 divisors (see below), whose sum is σ = 108850176. Its totient is φ = 19430400.

The previous prime is 46422449. The next prime is 46422581.

46422464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (36864) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 46422464.

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, 760994 + ... + 761054.

Almost surely, 2^46422464 is an apocalyptic number.

46422464 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 46422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54425088).

46422464 is an abundant number, since it is smaller than the sum of its proper divisors (62427712).

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

46422464 is a wasteful number, since it uses less digits than its factorization.

46422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 46422464 is about 6813.4032612198. The cubic root of 46422464 is about 359.3983365715.

The spelling of 46422464 in words is "forty-six million, four hundred twenty-two thousand, four hundred sixty-four".