46453680 has 240 divisors, whose sum is σ = 192279360. Its totient is φ = 9787392.

The previous prime is 46453657. The next prime is 46453681. The reversal of 46453680 is 8635464.

46453680 is a `hidden beast` number, since 4 + 645 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×46453680³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46453681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65166 + ... + 65874.

It is an arithmetic number, because the mean of its divisors is an integer number (801164).

Almost surely, 2^46453680 is an apocalyptic number.

46453680 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 46453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96139680).

46453680 is an abundant number, since it is smaller than the sum of its proper divisors (145825680).

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

46453680 is a wasteful number, since it uses less digits than its factorization.

46453680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46453680 is about 6815.6936550875. The cubic root of 46453680 is about 359.4788756308.

The spelling of 46453680 in words is "forty-six million, four hundred fifty-three thousand, six hundred eighty".