46014464 has 56 divisors (see below), whose sum is σ = 94955868. Its totient is φ = 22282240.

The previous prime is 46014439. The next prime is 46014469. The reversal of 46014464 is 46441064.

It can be written as a sum of positive squares in 2 ways, for example, as 43454464 + 2560000 = 6592^2 + 1600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46014469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335804 + ... + 335940.

Almost surely, 2^46014464 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 46014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47477934).

46014464 is an abundant number, since it is smaller than the sum of its proper divisors (48941404).

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

46014464 is an equidigital number, since it uses as much as digits as its factorization.

46014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 46014464 is about 6783.3961995449. The cubic root of 46014464 is about 358.3423376621.

The spelling of 46014464 in words is "forty-six million, fourteen thousand, four hundred sixty-four".