46967040 has 216 divisors, whose sum is σ = 169635648. Its totient is φ = 12441600.

The previous prime is 46967029. The next prime is 46967047. The reversal of 46967040 is 4076964.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 46966986 and 46967004.

It is not an unprimeable number, because it can be changed into a prime (46967047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310965 + ... + 311115.

Almost surely, 2^46967040 is an apocalyptic number.

46967040 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 46967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84817824).

46967040 is an abundant number, since it is smaller than the sum of its proper divisors (122668608).

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

46967040 is an equidigital number, since it uses as much as digits as its factorization.

46967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

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

The square root of 46967040 is about 6853.2503237515. The cubic root of 46967040 is about 360.7982287775.

The spelling of 46967040 in words is "forty-six million, nine hundred sixty-seven thousand, forty".