46657440 has 72 divisors (see below), whose sum is σ = 159223428. Its totient is φ = 12441600.

The previous prime is 46657427. The next prime is 46657441. The reversal of 46657440 is 4475664.

46657440 is a `hidden beast` number, since 46 + 6 + 574 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 4511376 = 6492^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 46657395 and 46657404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46657441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14761 + ... + 17640.

Almost surely, 2^46657440 is an apocalyptic number.

46657440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46657440 is an abundant number, since it is smaller than the sum of its proper divisors (112565988).

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

46657440 is a wasteful number, since it uses less digits than its factorization.

46657440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32422 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 46657440 is about 6830.6251544057. The cubic root of 46657440 is about 360.0037036656.

The spelling of 46657440 in words is "forty-six million, six hundred fifty-seven thousand, four hundred forty".