46133460 has 72 divisors (see below), whose sum is σ = 140756616. Its totient is φ = 12230400.

The previous prime is 46133459. The next prime is 46133471. The reversal of 46133460 is 6433164.

46133460 is a `hidden beast` number, since 4 + 613 + 3 + 46 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 42850116 = 1812^2 + 6546^2 .

It is a super-2 number, since 2×46133460² = 4256592263143200, which contains 22 as substring.

It is a congruent number.

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, 34810 + ... + 36110.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2^46133460 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 46133460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70378308).

46133460 is an abundant number, since it is smaller than the sum of its proper divisors (94623156).

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

46133460 is a wasteful number, since it uses less digits than its factorization.

46133460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 46133460 is about 6792.1616588535. The cubic root of 46133460 is about 358.6509696024.

The spelling of 46133460 in words is "forty-six million, one hundred thirty-three thousand, four hundred sixty".