46506240 has 216 divisors, whose sum is σ = 176012928. Its totient is φ = 11243520.

The previous prime is 46506233. The next prime is 46506247. The reversal of 46506240 is 4260564.

It is a happy number.

46506240 is a `hidden beast` number, since 4 + 650 + 6 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46506233) and next prime (46506247).

It is not an unprimeable number, because it can be changed into a prime (46506247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126537 + ... + 126903.

Almost surely, 2^46506240 is an apocalyptic number.

46506240 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 46506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88006464).

46506240 is an abundant number, since it is smaller than the sum of its proper divisors (129506688).

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

46506240 is a wasteful number, since it uses less digits than its factorization.

46506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

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

The square root of 46506240 is about 6819.5483721431. The cubic root of 46506240 is about 359.6144019460.

The spelling of 46506240 in words is "forty-six million, five hundred six thousand, two hundred forty".