46470960 has 240 divisors, whose sum is σ = 170227200. Its totient is φ = 11321856.

The previous prime is 46470947. The next prime is 46470961. The reversal of 46470960 is 6907464.

46470960 is a `hidden beast` number, since 4 + 647 + 0 + 9 + 6 + 0 = 666.

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

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 (46470961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588201 + ... + 588279.

It is an arithmetic number, because the mean of its divisors is an integer number (709280).

Almost surely, 2^46470960 is an apocalyptic number.

46470960 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 46470960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113600).

46470960 is an abundant number, since it is smaller than the sum of its proper divisors (123756240).

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

46470960 is a wasteful number, since it uses less digits than its factorization.

46470960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 46470960 is about 6816.9611998309. The cubic root of 46470960 is about 359.5234435022.

The spelling of 46470960 in words is "forty-six million, four hundred seventy thousand, nine hundred sixty".