46830240 has 144 divisors (see below), whose sum is σ = 169297128. Its totient is φ = 11747328.

The previous prime is 46830233. The next prime is 46830263. The reversal of 46830240 is 4203864.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 535824 = 6804^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23524 + ... + 25436.

Almost surely, 2^46830240 is an apocalyptic number.

46830240 is a gapful number since it is divisible by the number (40) 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 46830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84648564).

46830240 is an abundant number, since it is smaller than the sum of its proper divisors (122466888).

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

46830240 is a wasteful number, since it uses less digits than its factorization.

46830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46830240 is about 6843.2623798887. The cubic root of 46830240 is about 360.4475914228.

The spelling of 46830240 in words is "forty-six million, eight hundred thirty thousand, two hundred forty".