46388160 has 448 divisors, whose sum is σ = 204825600. Its totient is φ = 9621504.

The previous prime is 46388159. The next prime is 46388161. The reversal of 46388160 is 6188364.

It is a happy number.

46388160 is a `hidden beast` number, since 4 + 638 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46388159) and next prime (46388161).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×46388160² = 4303722776371200, which contains 22 as substring.

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 (46388161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786211 + ... + 786269.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 2^46388160 is an apocalyptic number.

46388160 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 46388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

46388160 is an abundant number, since it is smaller than the sum of its proper divisors (158437440).

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

46388160 is a wasteful number, since it uses less digits than its factorization.

46388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 46388160 is about 6810.8854049969. The cubic root of 46388160 is about 359.3097886465.

The spelling of 46388160 in words is "forty-six million, three hundred eighty-eight thousand, one hundred sixty".