46500480 has 384 divisors, whose sum is σ = 187125120. Its totient is φ = 10948608.

The previous prime is 46500473. The next prime is 46500523. The reversal of 46500480 is 8400564.

46500480 is a `hidden beast` number, since 4 + 650 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021749 + ... + 2021771.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^46500480 is an apocalyptic number.

46500480 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 46500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

46500480 is an abundant number, since it is smaller than the sum of its proper divisors (140624640).

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

46500480 is a wasteful number, since it uses less digits than its factorization.

46500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

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

The square root of 46500480 is about 6819.1260437097. The cubic root of 46500480 is about 359.5995547307.

The spelling of 46500480 in words is "forty-six million, five hundred thousand, four hundred eighty".