46314450 has 288 divisors, whose sum is σ = 163382400. Its totient is φ = 9434880.

The previous prime is 46314449. The next prime is 46314451. The reversal of 46314450 is 5441364.

46314450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46314449) and next prime (46314451).

It is a super-3 number, since 3×46314450³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46314451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1597036 + ... + 1597064.

It is an arithmetic number, because the mean of its divisors is an integer number (567300).

Almost surely, 2^46314450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46314450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81691200).

46314450 is an abundant number, since it is smaller than the sum of its proper divisors (117067950).

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

46314450 is a wasteful number, since it uses less digits than its factorization.

46314450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 46314450 is about 6805.4720629799. The cubic root of 46314450 is about 359.1193753683.

It can be divided in two parts, 46314 and 450, that added together give a palindrome (46764).

The spelling of 46314450 in words is "forty-six million, three hundred fourteen thousand, four hundred fifty".