46252080 has 480 divisors, whose sum is σ = 203558400. Its totient is φ = 9580032.

The previous prime is 46252049. The next prime is 46252081. The reversal of 46252080 is 8025264.

46252080 is a `hidden beast` number, since 4 + 62 + 520 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46252081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010949 + ... + 2010971.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^46252080 is an apocalyptic number.

46252080 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 46252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

46252080 is an abundant number, since it is smaller than the sum of its proper divisors (157306320).

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

46252080 is a wasteful number, since it uses less digits than its factorization.

46252080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 46252080 is about 6800.8881772898. Note that the first 3 decimals coincide. The cubic root of 46252080 is about 358.9580985797.

The spelling of 46252080 in words is "forty-six million, two hundred fifty-two thousand, eighty".