46970000 has 200 divisors, whose sum is σ = 144103872. Its totient is φ = 14400000.

The previous prime is 46969931. The next prime is 46970009. The reversal of 46970000 is 7964.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (46970009) 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 39 ways as a sum of consecutive naturals, for example, 769970 + ... + 770030.

Almost surely, 2^46970000 is an apocalyptic number.

46970000 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 46970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72051936).

46970000 is an abundant number, since it is smaller than the sum of its proper divisors (97133872).

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

46970000 is a wasteful number, since it uses less digits than its factorization.

46970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 46970000 is about 6853.4662762722. The cubic root of 46970000 is about 360.8058081375.

Adding to 46970000 its reverse (7964), we get a palindrome (46977964).

The spelling of 46970000 in words is "forty-six million, nine hundred seventy thousand".