46468080 has 200 divisors, whose sum is σ = 165284064. Its totient is φ = 12096000.

The previous prime is 46468061. The next prime is 46468087. The reversal of 46468080 is 8086464.

46468080 is a `hidden beast` number, since 4 + 646 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46468087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 460030 + ... + 460130.

Almost surely, 2^46468080 is an apocalyptic number.

46468080 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 46468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82642032).

46468080 is an abundant number, since it is smaller than the sum of its proper divisors (118815984).

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

46468080 is a wasteful number, since it uses less digits than its factorization.

46468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46468080 is about 6816.7499587413. The cubic root of 46468080 is about 359.5160162909.

The spelling of 46468080 in words is "forty-six million, four hundred sixty-eight thousand, eighty".